Academic literature on the topic 'Correspondence manifold'

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Journal articles on the topic "Correspondence manifold"

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Perego, Arvid. "Kobayashi—Hitchin correspondence for twisted vector bundles." Complex Manifolds 8, no. 1 (January 1, 2021): 1–95. http://dx.doi.org/10.1515/coma-2020-0107.

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Abstract We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds. More precisely, if X is a compact manifold and g is a Gauduchon metric on X, a twisted holomorphic vector bundle on X is g−polystable if and only if it is g−Hermite-Einstein, and if X is a compact Kähler manifold and g is a Kähler metric on X, then a twisted holomorphic vector bundle on X is g−semistable if and only if it is approximate g−Hermite-Einstein.
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Cortés, Vicente, and Liana David. "Twist, elementary deformation and K/K correspondence in generalized geometry." International Journal of Mathematics 31, no. 10 (September 2020): 2050078. http://dx.doi.org/10.1142/s0129167x20500780.

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We define the conformal change and elementary deformation in generalized complex geometry. We apply Swann’s twist construction to generalized (almost) complex and Hermitian structures obtained by these operations and establish conditions for the Courant integrability of the resulting twisted structures. We associate to any appropriate generalized Kähler manifold [Formula: see text] with a Hamiltonian Killing vector field a new generalized Kähler manifold, depending on the choice of a pair of non-vanishing functions and compatible twist data. We study this construction when [Formula: see text] is toric, with emphasis on the four-dimensional case, and we apply it to deformations of the standard flat Kähler metric on [Formula: see text], the Fubini–Study metric on [Formula: see text] and the admissible Kähler metrics on Hirzebruch surfaces. As a further application, we recover the K/K (Kähler/Kähler) correspondence, by specializing to ordinary Kähler manifolds.
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LI, Xiang-Ru, Xiao-Ming LI, Hai-Ling LI, and Mao-Yong CAO. "Rejecting Outliers Based on Correspondence Manifold." Acta Automatica Sinica 35, no. 1 (April 7, 2009): 17–22. http://dx.doi.org/10.3724/sp.j.1004.2009.00017.

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Liu, Dongquan, Quan Chen, Jun Yu, Huiqin Gu, Dacheng Tao, and Hock Soon Seah. "Stroke Correspondence Construction Using Manifold Learning." Computer Graphics Forum 30, no. 8 (June 23, 2011): 2194–207. http://dx.doi.org/10.1111/j.1467-8659.2011.01969.x.

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LI, Xiang-Ru, Xiao-Ming LI, Hai-Ling LI, and Mao-Yong CAO. "Rejecting Outliers Based on Correspondence Manifold." Acta Automatica Sinica 35, no. 1 (January 2009): 17–22. http://dx.doi.org/10.1016/s1874-1029(08)60065-8.

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Baykur, R. İnanç, and Osamu Saeki. "Simplified broken Lefschetz fibrations and trisections of 4-manifolds." Proceedings of the National Academy of Sciences 115, no. 43 (October 22, 2018): 10894–900. http://dx.doi.org/10.1073/pnas.1717175115.

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Shapes of 4D spaces can be studied effectively via maps to standard surfaces. We explain, and illustrate by quintessential examples, how to simplify such generic maps on 4-manifolds topologically, to derive simple decompositions into much better-understood manifold pieces. Our methods not only allow us to produce various interesting families of examples but also to establish a correspondence between simplified broken Lefschetz fibrations and simplified trisections of closed, oriented 4-manifolds.
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Bejancu, Aurel, and Hani Reda Farran. "Curvature of Cr Manifolds." Annals of the Alexandru Ioan Cuza University - Mathematics 59, no. 1 (January 1, 2013): 43–72. http://dx.doi.org/10.2478/v10157-012-0021-z.

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Abstract We prove the existence and uniqueness of a torsion-free and h-metric linear connection ▽(CR connection) on the horizontal distribution of a CR manifold M. Then we define the CR sectional curvature of M and obtain a characterization of the CR space forms. Also, by using the CR Ricci tensor and the CR scalar curvature we define the CR Einstein gravitational tensor field on M. Thus, we can write down Einstein equations on the horizontal distribution of the 5-dimensional CR manifold involved in the Penrose correspondence. Finally, some CR differential operators are defined on M and two examples are given to illustrate the theory developed in the paper. Most of the results are obtained for CR manifolds that do not satisfy the integrability conditions
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Ferreira, Ana Cristina. "Induced three-forms on instanton moduli spaces." International Journal of Geometric Methods in Modern Physics 11, no. 09 (October 2014): 1460041. http://dx.doi.org/10.1142/s021988781460041x.

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In this note we study a correspondence between the space of three-forms on a four-manifold and the space of three-forms on the moduli space of instantons. We then specialize to the case where the base manifold is the four-sphere.
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HAMENSTÄDT, URSULA. "Cocycles, Hausdorff measures and cross ratios." Ergodic Theory and Dynamical Systems 17, no. 5 (October 1997): 1061–81. http://dx.doi.org/10.1017/s0143385797086379.

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Let $f$ be a flip-invariant Hölder continuous function on the unit tangent bundle $T^1 M$ of a closed negatively curved Riemannian manifold $M$. We show that conditionals on strong unstable manifolds of the Gibbs equilibrium state defined by $f$ can be realized as Hausdorff measures. Moreover, cohomology classes of flip invariant cocycles are in one-to-one correspondence to cross ratios on the space of four pairwise distinct points of the ideal boundary of the universal covering $\tilde M$ of $M$.
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BISWAS, INDRANIL, and GEORG SCHUMACHER. "YANG–MILLS EQUATION FOR STABLE HIGGS SHEAVES." International Journal of Mathematics 20, no. 05 (May 2009): 541–56. http://dx.doi.org/10.1142/s0129167x09005406.

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We establish a Kobayashi–Hitchin correspondence for the stable Higgs sheaves on a compact Kähler manifold. Using it, we also obtain a Kobayashi–Hitchin correspondence for the stable Higgs G-sheaves, where G is any complex reductive linear algebraic group.
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Dissertations / Theses on the topic "Correspondence manifold"

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Smirnov, Maxim [Verfasser]. "Gromov-Witten correspondences, derived categories, and Frobenius manifolds / Maxim Smirnov." Bonn : Universitäts- und Landesbibliothek Bonn, 2013. http://d-nb.info/1044868589/34.

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Shelton, Christian R. "Three-Dimensional Correspondence." 1998. http://hdl.handle.net/1721.1/5567.

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This paper describes the problem of three-dimensional object correspondence and presents an algorithm for matching two three-dimensional colored surfaces using polygon reduction and the minimization of an energy function. At the core of this algorithm is a novel data-dependent multi-resolution pyramid for polygonal surfaces. The algorithm is general to correspondence between any two manifolds of the same dimension embedded in a higher dimensional space. Results demonstrating correspondences between various objects are presented and a method for incorporating user input is also detailed.
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Tran, Quoc Huy. "Robust parameter estimation in computer vision: geometric fitting and deformable registration." Thesis, 2014. http://hdl.handle.net/2440/86270.

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Parameter estimation plays an important role in computer vision. Many computer vision problems can be reduced to estimating the parameters of a mathematical model of interest from the observed data. Parameter estimation in computer vision is challenging, since vision data unavoidably have small-scale measurement noise and large-scale measurement errors (outliers) due to imperfect data acquisition and preprocessing. Traditional parameter estimation methods developed in the statistics literature mainly deal with noise and are very sensitive to outliers. Robust parameter estimation techniques are thus crucial for effectively removing outliers and accurately estimating the model parameters with vision data. The research conducted in this thesis focuses on single structure parameter estimation and makes a direct contribution to two specific branches under that topic: geometric fitting and deformable registration. In geometric fitting problems, a geometric model is used to represent the information of interest, such as a homography matrix in image stitching, or a fundamental matrix in three-dimensional reconstruction. Many robust techniques for geometric fitting involve sampling and testing a number of model hypotheses, where each hypothesis consists of a minimal subset of data for yielding a model estimate. It is commonly known that, due to the noise added to the true data (inliers), drawing a single all-inlier minimal subset is not sufficient to guarantee a good model estimate that fits the data well; the inliers therein should also have a large spatial extent. This thesis investigates a theoretical reasoning behind this long-standing principle, and shows a clear correlation between the span of data points used for estimation and the quality of model estimate. Based on this finding, the thesis explains why naive distance-based sampling fails as a strategy to maximise the span of all-inlier minimal subsets produced, and develops a novel sampling algorithm which, unlike previous approaches, consciously targets all-inlier minimal subsets with large span for robust geometric fitting. The second major contribution of this thesis relates to another computer vision problem which also requires the knowledge of robust parameter estimation: deformable registration. The goal of deformable registration is to align regions in two or more images corresponding to a common object that can deform nonrigidly such as a bending piece of paper or a waving flag. The information of interest is the nonlinear transformation that maps points from one image to another, and is represented by a deformable model, for example, a thin plate spline warp. Most of the previous approaches to outlier rejection in deformable registration rely on optimising fully deformable models in the presence of outliers due to the assumption of the highly nonlinear correspondence manifold which contains the inliers. This thesis makes an interesting observation that, for many realistic physical deformations, the scale of errors of the outliers usually dwarfs the nonlinear effects of the correspondence manifold on which the inliers lie. The finding suggests that standard robust techniques for geometric fitting are applicable to model the approximately linear correspondence manifold for outlier rejection. Moreover, the thesis develops two novel outlier rejection methods for deformable registration, which are based entirely on fitting simple linear models and shown to be considerably faster but at least as accurate as previous approaches.
Thesis (Ph.D.) -- University of Adelaide, School of Computer Science, 2014
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Pei, Du. "3d-3d Correspondence for Seifert Manifolds." Thesis, 2016. https://thesis.library.caltech.edu/9813/15/Pei_Du_2016.pdf.

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In this dissertation, we investigate the 3d-3d correspondence for Seifert manifolds. This correspondence, originating from string theory and M-theory, relates the dynamics of three-dimensional quantum field theories with the geometry of three-manifolds.

We first start in Chapter II with the simplest cases and demonstrate the extremely rich interplay between geometry and physics even when the manifold is just a direct product. In this particular case, by examining the problem from various vantage points, we generalize the celebrated relations between 1) the Verlinde algebra, 2) quantum cohomology of the Grassmannian, 3) quantization of Chern-Simons theory and 4) the index theory of the moduli space of flat connections to a completely new set of relations between 1) the "equivariant Verlinde algebra" for a complex group, 2) the equivariant quantum K-theory of the vortex moduli space, 3) quantization of complex Chern-Simons theory and 4) the equivariant index theory of the moduli space of Higgs bundles.

In Chapter III we move one step up in complexity by looking at the next simplest three-manifolds---lens spaces. We test the 3d-3d correspondence for theories that are labeled by lens spaces, reaching a full agreement between the index of the 3d N=2 "lens space theory" and the partition function of complex Chern-Simons theory on the lens space.

The two different types of manifolds studied in the previous two chapters also have interesting interactions. We show in Chapter IV the equivalence between two seemingly distinct 2d TQFTs: one comes from the "Coulomb branch index" of the class S theory on a lens space, the other is the "equivariant Verlinde formula". We check this relation explicitly for SU(2) and demonstrate that the SU(N) equivariant Verlinde algebra can be derived using field theory via (generalized) Argyres-Seiberg dualities.

In the last chapter, we directly jump to the most general situation, giving a proposal for the 3d-3d correspondence for an arbitrary Seifert manifold. We remark on the huge class of novel dualities relating different descriptions of the "Seifert theory" associated with the same Seifert manifold and suggest ways that our proposal could be tested.

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Schlegel, Vincent Sebastian. "The Caloron correspondence and odd differential k-theory." Thesis, 2013. http://hdl.handle.net/2440/83273.

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The caloron correspondence (introduced in [32] and generalised in [25, 33, 41]) is a tool that gives an equivalence between principal G-bundles based over the manifold M x S¹ and principal LG-bundles on M, where LG is the Frechet Lie group of smooth loops in the Lie group G. This thesis uses the caloron correspondence to construct certain differential forms called string potentials that play the same role as Chern-Simons forms for loop group bundles. Following their construction, the string potentials are used to define degree 1 differential characteristic classes for ΩU(n)-bundles. The notion of an Ω vector bundle is introduced and a caloron correspondence is developed for these objects. Finally, string potentials and Ω vector bundles are used to define an Ω bundle version of the structured vector bundles of [38]. The Ω model of odd differential K-theory is constructed using these objects and an elementary differential extension of odd K-theory appearing in [40].
Thesis (M.Phil.) -- University of Adelaide, School of Mathematical Sciences, 2013
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Books on the topic "Correspondence manifold"

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Lübke, Martin. The universal Kobayashi-Hitchin correspondence on Hermitian manifolds. Providence, R.I: American Mathematical Society, 2006.

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Kobayashi-Hitchin correspondence for tame harmonic bundles and an application. Paris: Société mathématique de France, 2006.

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Kostov, Ivan. String theory. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.31.

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This article discusses the link between matrix models and string theory, giving emphasis on topological string theory and the Dijkgraaf–Vafa correspondence, along with applications of this correspondence and its generalizations to supersymmetric gauge theory, enumerative geometry, and mirror symmetry. The article first provides an overview of strings and matrices, noting that the correspondence between matrix models and string theory makes it possible to solve both non-critical strings and topological strings. It then describes some basic aspects of topological strings on Calabi-Yau manifolds and states the Dijkgraaf–Vafa correspondence, focusing on how it is connected to string dualities and how it can be used to compute superpotentials in certain supersymmetric gauge theories. In addition, it shows how the correspondence extends to toric manifolds and leads to a matrix model approach to enumerative geometry. Finally, it reviews matrix quantum mechanics and its applications in superstring theory.
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Ji, Lizhen, and Shing-Tung Yau. Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau Manifolds and Picard-Fuchs Equations. International Press of Boston, Incorporated, 2018.

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The Universal Kobayashi-hitchin Correspondence on Hermitian Manifolds (Memoirs of the American Mathematical Society). American Mathematical Society, 2006.

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Book chapters on the topic "Correspondence manifold"

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Cheng, Ho-Lun, and Ke Yan. "Mesh Deformation of Dynamic Smooth Manifolds with Surface Correspondences." In Mathematical Foundations of Computer Science 2010, 677–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15155-2_59.

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Sharma, Charu, and Manohar Kaul. "Simplicial Complex Based Point Correspondence Between Images Warped onto Manifolds." In Computer Vision – ECCV 2020, 54–70. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-58526-6_4.

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Roscher, Ribana, Falko Schindler, and Wolfgang Förstner. "High Dimensional Correspondences from Low Dimensional Manifolds – An Empirical Comparison of Graph-Based Dimensionality Reduction Algorithms." In Computer Vision – ACCV 2010 Workshops, 334–43. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22819-3_34.

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Fefferman, Charles, and C. Robin Graham. "Poincaré Metrics." In The Ambient Metric (AM-178). Princeton University Press, 2011. http://dx.doi.org/10.23943/princeton/9780691153131.003.0004.

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This chapter considers the formal theory for Poincaré metrics associated to a conformal manifold (M, [g]). It shows that even Poincaré metrics are in one-to-one correspondence with straight ambient metrics, if both are in normal form. Thus, the formal theory for Poincaré metrics is a consequence of the results of Chapter 3. The derivation of a Poincaré metric from an ambient metric was described in [FG], and the inverse construction of an ambient metric as the cone metric over a Poincaré metric was given in § 5 of [GrL].
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Stievermann, Jan. "German Pietism." In The Oxford Handbook of Early Evangelicalism, 95—C5.P80. Oxford University Press, 2022. http://dx.doi.org/10.1093/oxfordhb/9780190863319.013.6.

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Abstract This chapter surveys, by way of important examples, the great plurality of German Pietism in various territories of the Holy Roman Empire and abroad, from the last third of the seventeenth to the last third of the eighteenth centuries. The focus is on the manifold relations between these different branches of Pietism and “awakened” individuals, movements, and undertakings associated with early evangelicalism in Britain and its colonies. Such relations came about either through migration, co-operations, or the cultivation of networks of correspondence and print exchange. Examples include theologians, reformers, groups, and projects connected with both Reformed and Lutheran state churches, such as the émigré pastor Theodorus Jacobus Frelinghuysen, who was directly involved in the Great Awakening, or the reception of Gerhard Tersteegen by German Pietists in the colonies but also the Wesley brothers. Special attention is paid to Halle Pietism and the Francke Foundation that had close ties with numerous reform and revival movements across the British Empire and (also by sending Heinrich Melchior Mühlenberg) played a key role in the organization of American Lutheranism. Among the examples of radical Pietism examined in this chapter are Labadism and the Pietist Baptist groups that sought refuge in Pennsylvania and founded the Ephrata community. The chapter concludes by turning to the question of how, given these many entanglements, German Pietists and their Anglophone brethren viewed each other and interpreted their religious identities.
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Zinn-Justin, Jean. "O(2) spin model and the Kosterlitz–Thouless’s phase transition." In Quantum Field Theory and Critical Phenomena, 747–59. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0031.

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At low temperature, the large distance properties of the O(2) spin lattice model can be described by the O(2) non-linear σ-model. The latter model is free and massless in two dimensions. The origin of this peculiarity can be found in the local structure of the field manifold: for N = 2, the O(N) sphere reduces to a circle, which cannot be distinguished locally from a straight line. Because the physical fields are sin θ or cos θ, or equivalently e± iθ, instead of θ, a field renormalization is necessary, and temperature-dependent anomalous dimensions are generated. However, the free θ action cannot describe the long-distance properties of the lattice model for all temperatures, since a high temperature analysis of the corresponding spin model shows that the correlation length is finite at high temperature, and thus a phase transition is required. In fact, it is necessary to take into account the property that θ is a cyclic variable. This condition is irrelevant at low temperature, but when the temperature increases, classical configurations with singularities at isolated points, around which θ varies by a multiple of 2π become important. The action of these configurations (vortices) can be identified with the energy of a neutral Coulomb gas, which exhibits a transition between a low temperature of bound neutral molecules and a high temperature phase of a plasma of free charges. The Coulomb gas can be mapped onto the sine-Gordon (sG) model, mapping in which the low- and high-temperature regions of the models are exchanged. This correspondence helps to understand some properties of the famous Kosterlitz-Thouless (KT) phase transition, which separates an infinite correlation length phase without order, the low-temperature phase of the O(2) spin model, from a finite correlation length phase, the high-temperature phase of the O(2) spin model.
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Moran, Gadi. "Phase Transition via Cellular Automata." In New Constructions in Cellular Automata. Oxford University Press, 2003. http://dx.doi.org/10.1093/oso/9780195137170.003.0017.

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The dynamics of unit-charged graphs under iterated local majority rule observed in Moran [2] strongly suggested to me a phase-transition phenomenon. In a correspondence with D. Ruelle on this matter in late 1993, he expressed his feelings that the connection was too vague and that temperature was absent in it. This note is a reproduction of my 1993 response, where I try to force my suggestive feelings into a bit more formal frame. A recent work of Yuval Ginosar and Ron Holzman [1], which extends Moran [2], allows us to replace the definition of a solid, given in section 4, by a sharper one, namely that of a “puppet” in their terminology. This means that in section 4 we may define a G ∈ Y to be a solid if every initial charge upon it decays under these dynamics—possibly in infinite time—into a time-periodic charging of a time period not longer than two. This note suggests an approach to the phenomenon of phase transition based on the behaviour of some cellular automata on infinitely countable nets, as noted recently in Moran [2]. Specifically, we use a majority automaton operating simultaneously on a countably infinite graph as a test device determining its “phase.” Results in Moran [2] suggest some sharp partition of a configuration space made up of the totality of such graphs into “solids,” where the only periods allowed for the automaton are 1 or 2, versus the others. Results in Moran [2] allow also the introduction of a “temperature” functional—a numerical parameter defined for each configuration, with the property that a configuration is “solid” whenever its “temperature” is negative. We first describe a possible physical interpretation of such a model, taking the nodes of a graph to be “particles” (stars, electrons, ions, atoms, molecules, radicals—as the case may be) in some Riemannian manifold. Our interpretation is obviously open to a wide diversity of modifications. It is hoped that in spite of its admittedly speculative nature, it may invoke a novel approach to the theoretical treatment of phase transition.
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Nelson, Bruce. "“From the Cabins of Connemara to the Kraals of Kaffirland”." In Irish Nationalists and the Making of the Irish Race. Princeton University Press, 2012. http://dx.doi.org/10.23943/princeton/9780691153124.003.0006.

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This chapter examines Irish nationalism in the context of the British Empire and its rapid expansion in the second half of the nineteenth century. It focuses on Michael Davitt, who participated in the South African War. Davitt became a bitter opponent of British foreign policy and a war correspondent for American and Irish newspapers. He had long been committed to an essentialist discourse of Anglo-Saxon versus Celt that required the demonization of the Saxon for his manifold sins. While Davitt became famous for his opposition to anti-Semitism and support for the aboriginal peoples of Australia and New Zealand, we must also recognize that in romanticizing the Boers as heroic victims of British imperialism he allowed himself to demonize their black African adversaries in ways that not only distorted historical reality but also reflected the intense racism of his time.
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Conference papers on the topic "Correspondence manifold"

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Wu, Huai-Yu, Chunhong Pan, Qing Yang, and Songde Ma. "Consistent Correspondence between Arbitrary Manifold Surfaces." In 2007 IEEE 11th International Conference on Computer Vision. IEEE, 2007. http://dx.doi.org/10.1109/iccv.2007.4408908.

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Gaur, Utkarsh, and B. S. Manjunath. "Weakly Supervised Manifold Learning for Dense Semantic Object Correspondence." In 2017 IEEE International Conference on Computer Vision (ICCV). IEEE, 2017. http://dx.doi.org/10.1109/iccv.2017.192.

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Hu, Ling, Qinsong Li, Shengjun Liu, and Xinru Liu. "Efficient deformable shape correspondence via multiscale spectral manifold wavelets preservation." In 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2021. http://dx.doi.org/10.1109/cvpr46437.2021.01430.

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Vestner, Matthias, Roee Litman, Emanuele Rodola, Alex Bronstein, and Daniel Cremers. "Product Manifold Filter: Non-rigid Shape Correspondence via Kernel Density Estimation in the Product Space." In 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2017. http://dx.doi.org/10.1109/cvpr.2017.707.

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Bhat, Sandesh G., Thomas G. Sugar, and Sangram Redkar. "Reconstruction of Ground Reaction Force Data Using Lyapunov Floquet Theory and Invariant Manifold Theory." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22521.

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Abstract Ground Reaction Force (GRF) is an essential gait parameter. GRF analysis provides important information regarding various aspects of gait. GRF has been traditionally measured using bulky force plates within lab environments. There exist portable force sensing units, but their accuracy is wanting. Estimation of GRF has applications in remote wearable systems for rehabilitation, to measure performance in athletes, etc. This article explores a novel method for GRF estimation using the Lyapunov-Floquet (LF) and invariant manifold theory. We assume human gait to be a periodic motion without external forcing. Using time delayed embedding, a reduced order system can be reconstructed from the vertical GRF data. LF theory can be applied to perform system identification via Floquet Transition Matrix and the Lyapunov Exponents. A Conformal Map was generated using the Lyapunov Floquet Transformation that maps the original time periodic system on a linear Single Degree of Freedom (SDoF) oscillator. The response of the oscillator system can be calculated numerically and then remapped back to the original domain to get GRF time evolution. As an example, the GRF data from an optical motion capture system for two subjects was used to construct the reduced order model and system identification. A comparison between the original system and its reduced order approximation showed good correspondence.
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Taylor, J., J. Shotton, T. Sharp, and A. Fitzgibbon. "The Vitruvian manifold: Inferring dense correspondences for one-shot human pose estimation." In 2012 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2012. http://dx.doi.org/10.1109/cvpr.2012.6247664.

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Rabello, Alexandre, Dorival Natal Neto, Eduardo Coelho, Estevan Seraco, Wagner Destro, Alan Labes, Gustavo Rodriguez, et al. "First Full-Electric Shared-Actuation Control for Subsea Manifolds in Brazilian Ultra-Deep Waters: A Discussion of the Technological Development up to Field Commissioning." In Offshore Technology Conference. OTC, 2021. http://dx.doi.org/10.4043/31003-ms.

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Abstract In projects to develop offshore production in Brazilian pre-salt fields, an innovative model of subsea manifolds is being used, based on shared-actuation control (SAC) for the remote operation of valves. The control solution, which comprises the first full-electric robotic tool designed to operate in ultra-deep waters, has achieved an important mark in 2020, with the commissioning and start-of-operation of the first fabricated unit. In this article, we present lessons learned and discuss relevant specifications and programs of the technological development that contributed for the results obtained so far. Considering aspects on conception, technology, and environment of application, the pre-salt SAC required the adoption of new solutions on several disciplines of subsea engineering. As a typical case of technological development, the design process comprised decisions on engineering requirements and the establishment of a comprehensive qualification program. Now, after the first robot completing critical stages at field, such as subsea deployment, functional testing, and integration with the subsea system, we obtain a set of performance results that serve us to evaluate e.g. how effective were the selected technical specifications and testing routines, used throughout the engineering program. This discussion also provides possible adjustments in the overall development plan, considering its application as new generations of SAC arise. The commissioning in 2020 of the first robot resulted in its full integration with the subsea manifold and the correspondent production system, contributing to water-alternating-gas injection in the pre-salt field Tupi Extremo Sul. A second subsea system featuring the same model of robotic tool, for manifold control, is in advanced schedule in 2021 for integration in Búzios II, another pre-salt field in Brazil. Confirming the advantages that we could expect with the adoption of SAC in subsea equipment, the pre-salt SAC allowed a series of optimizations on design of the robot-controlled manifold. The robot tool replaced all the hydraulic actuators that traditional control systems, based on electric-hydraulic multiplexing, would require to implement remote controlling of the manifold valves. This led to a significant reduction on sizes and weight of the manifold structure.
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