Relevant bibliographies by topics / Cohomology of D-Manifolds

Academic literature on the topic 'Cohomology of D-Manifolds'

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Published: 9 March 2023
Last updated: 10 March 2023

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Journal articles on the topic "Cohomology of D-Manifolds"

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Angella, Daniele, and Federico Alberto Rossi. "Cohomology of D-complex manifolds." Differential Geometry and its Applications 30, no. 5 (October 2012): 530–47. http://dx.doi.org/10.1016/j.difgeo.2012.07.003.

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ANGELLA, DANIELE, and ADRIANO TOMASSINI. "ON THE COHOMOLOGY OF ALMOST-COMPLEX MANIFOLDS." International Journal of Mathematics 23, no. 02 (February 2012): 1250019. http://dx.doi.org/10.1142/s0129167x11007604.

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Following [T.-J. Li and W. Zhang, Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds, Comm. Anal. Geom.17(4) (2009) 651–683], we continue to study the link between the cohomology of an almost-complex manifold and its almost-complex structure. In particular, we apply the same argument in [T.-J. Li and W. Zhang, Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds, Comm. Anal. Geom.17(4) (2009) 651–683] and the results obtained by [D. Sullivan, Cycles for the dynamical study of foliated manifolds and complex manifolds, Invent. Math.36(1) (1976) 225–255] to study the cone of semi-Kähler structures on a compact semi-Kähler manifold.
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FANG, FUQUAN, and XIAOCHUN RONG. "FIXED POINT FREE CIRCLE ACTIONS AND FINITENESS THEOREMS." Communications in Contemporary Mathematics 02, no. 01 (February 2000): 75–86. http://dx.doi.org/10.1142/s0219199700000062.

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We prove a vanishing theorem of certain cohomology classes for an 2n-manifold of finite fundamental group which admits a fixed point free circle action. In particular, it implies that any Tk-action on a compact symplectic manifold of finite fundamental group has a non-empty fixed point set. The vanishing theorem is used to prove two finiteness results in which no lower bound on volume is assumed. (i) The set of symplectic n-manifolds of finite fundamental groups with curvature, λ ≤ sec ≤ Λ, and diameter, diam ; ≤ d, contains only finitely many diffeomorphism types depending only on n, λ, Λ and d. (ii) The set of simply connected n-manifolds (n ≤ 6) with λ ≤ sec ≤ Λ and diam ≤ d contains only finitely many diffeomorphism types depending only on n, λ, Λ and d.
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GILMER, PATRICK M. "REMARKS ON CONGRUENCE OF 3-MANIFOLDS." Journal of Knot Theory and Its Ramifications 16, no. 10 (December 2007): 1357–60. http://dx.doi.org/10.1142/s021821650700583x.

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We give two proofs that the 3-torus is not weakly d-congruent to #3S1 × S2, if d > 2. We study how cohomology ring structure relates to weak congruence. We give an example of three 3-manifolds which are weakly 5-congruent but are not 5-congruent.
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Hai-bao, Duan. "Some Newman-type theorems for maps from Riemannian manifolds into manifolds." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 111, no. 1-2 (1989): 53–59. http://dx.doi.org/10.1017/s0308210500025002.

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SynopsisLetf: Mm→Nnbe a map from a Riemannianm-manifold(Mm, d)into ann-manifold Nn. The major purpose of this paper is to give a lower bound for the numberby examining the behaviour of the cohomology homomorphisms induced byf. This idea will be used to generalise the classical Newman theorem and present a geometric background for a well-known non-embedding theorem in topology.
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Chen, Tai-Wei, Chung-I. Ho, and Jyh-Haur Teh. "Aeppli and Bott–Chern cohomology for bi-generalized Hermitian manifolds and d′d″-lemma." Journal of Geometry and Physics 93 (July 2015): 40–51. http://dx.doi.org/10.1016/j.geomphys.2015.03.006.

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JOHANSEN, ANDREI. "REALIZATION OF W1+∞ AND VIRASORO ALGEBRAS IN SUPERSYMMETRIC THEORIES ON FOUR MANIFOLDS." Modern Physics Letters A 09, no. 28 (September 14, 1994): 2611–22. http://dx.doi.org/10.1142/s0217732394002458.

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We demonstrate that a supersymmetric theory twisted on a Kähler four-manifold M= Σ1×Σ2, where Σ1,2 are 2-D Riemann surfaces, possesses a “left-moving” conformal stress tensor on Σ1 (Σ2) in the BRST cohomology. The central charge of the Virasoro algebra has a purely geometric origin and is proportional to the Euler characteristic of the Σ2 (Σ1) surface. This structure is shown to be invariant under renormalization group. We also give a representation of the algebra W1+∞ in terms of a free chiral supermultiplet.
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SUGIYAMA, KATSUYUKI. "THREE-POINT FUNCTIONS ON THE SPHERE OF CALABI-YAU d-FOLDS." International Journal of Modern Physics A 11, no. 02 (January 20, 1996): 229–52. http://dx.doi.org/10.1142/s0217751x96000110.

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Using mirror symmetry in Calabi-Yau manifolds M, we study three-point functions of A(M) model operators on the genus 0 Riemann surface in cases of one-parameter families of d-folds realized as Fermat type hypersurfaces embedded in weighted projective spaces and a two-parameter family of d-folds embedded in a weighted projective space Pd+1 [2,2,2,...,2,2,1,1] (2 (d + 1)). These three-point functions [Formula: see text] are expanded by indeterminates [Formula: see text] associated with a set of Kähler coordinates {tl}, and their expansion coefficients count the number of maps with a definite degree which map each of the three-points 0, 1 and ∞ on the world sheet on some homology cycle of M associated with a cohomology element. From these analyses, we can read the fusion structure of Calabi-Yau A(M) model operators. In our cases they constitute a subring of a total quantum cohomology ring of the A(M) model operators. In fact we switch off all perturbation operators on the topological theories except for marginal ones associated with Kähler forms of M. For that reason, the charge conservation of operators turns out to be a classical one. Furthermore, because their first Chern classes c1 vanish, their topological selection rules do not depend on the degree of maps (in particular, a nilpotent property of operators [Formula: see text] is satisfied). Then these fusion couplings {κl} are represented as some series adding up all degrees of maps.
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Kawamura, Kazuhiro. "Point derivations and cohomologies of Lipschitz algebras." Proceedings of the Edinburgh Mathematical Society 62, no. 4 (July 18, 2019): 1173–87. http://dx.doi.org/10.1017/s0013091519000142.

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AbstractFor a compact metric space (K, d), LipK denotes the Banach algebra of all complex-valued Lipschitz functions on (K, d). We show that the continuous Hochschild cohomology Hn(LipK, (LipK)*) and Hn(LipK, ℂe) are both infinite-dimensional vector spaces for each n ≥ 1 if the space K contains a certain infinite sequence which converges to a point e ∈ K. Here (LipK)* is the dual module of LipK and ℂe denotes the complex numbers with a LipK-bimodule structure defined by evaluations of LipK-functions at e. Examples of such metric spaces include all compact Riemannian manifolds, compact geodesic metric spaces and infinite compact subsets of ℝ. In particular, the (small) global homological dimension of LipK is infinite for every such space. Our proof uses the description of point derivations by Sherbert [‘The structure of ideals and point derivations in Banach algebras of Lipschitz functions’, Trans. Amer. Math. Soc.111 (1964), 240–272] and directly constructs non-trivial cocycles with the help of alternating cocycles of Johnson [‘Higher-dimensional weak amenability’, Studia Math.123 (1997), 117–134]. An alternating construction of cocycles on the basis of the idea of Kleshchev [‘Homological dimension of Banach algebras of smooth functions is equal to infinity’, Vest. Math. Mosk. Univ. Ser. 1. Mat. Mech.6 (1988), 57–60] is also discussed.
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JOHANSEN, A. "TWISTING OF N=1 SUSY GAUGE THEORIES AND HETEROTIC TOPOLOGICAL THEORIES." International Journal of Modern Physics A 10, no. 30 (December 10, 1995): 4325–57. http://dx.doi.org/10.1142/s0217751x9500200x.

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It is shown that D=4N=1 SUSY Yang-Mills theory with an appropriate supermultiplet of matter can be twisted on a compact Kähler manifold. The conditions for cancellation of anomalies of BRST charge are found. The twisted theory has an appropriate BRST charge. We find a nontrivial set of physical operators defined as classes of the cohomology of this BRST operator. We prove that the physical correlators are independent of the external Kähler metric up to a power of a ratio of two Ray-Singer torsions for the Dolbeault cohomology complex on a Kähler manifold. The correlators of local physical operators turn out to be independent of antiholomorphic coordinates defined with a complex structure on the Kähler manifold. However, a dependence of the correlators on holomorphic coordinates can still remain. For a hyper-Kähler metric the physical correlators turn out to be independent of all coordinates of insertions of local physical operators.
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Dissertations / Theses on the topic "Cohomology of D-Manifolds"

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ROSSI, FEDERICO ALBERTO. "D-Complex Structures on Manifolds: Cohomological properties and deformations." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2013. http://hdl.handle.net/10281/41976.

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In questa tesi studiamo alcune proprietà delle "Varietà Doppie" o D-Varietà. In particolare studiamo la teoria delle deformazioni di D-Strutture e di D-Strutture CR, e troviamo una condizione che è equivalente alla classica condizione di Maurer-Cartan che descrive l'integrabilità di deformazioni di D-Strutture. Successivamente prestiamo attenzione alla coomologia delle D-Varietà, provando che una versione D-complessa del del-delbar-Lemma non può essere vera per D-varietà compatte. Inoltre sono stabilite alcune proprietà di sottogruppi speciali della coomologia di de-Rham, ottenute studiando il loro comportamento sotto l'azione di deformazioni. Infine, un risultato riguardante le sottovarietà Lagrangiane minimali dovuto ad Harvey e Lawson riguardante le varietà D-Kahler Ricci-Piatte è generalizzato a una classe di varietà simplettiche quasi D-complesse.
We study some properties of Double Manifold, or D-Manifolds. In particular, we study of deformations of D-structures and of CR D-structures, and we found a condition which is equivalent to the classical Maurer-Cartan equation describing the integrability of the deformations. We also focus on the cohomological properties of D-Manifold, showing that a del-delbar-Lemma can not hold for any compact D-Manifold. We also state some properties of special subgroups of de-Rham cohomology, studing also their behaviour under small deformations. Finally, a result by Harvey and Lawson about the minimal Lagrangian Submanifold of a D-Kahler Ricci-flat manifold is generalized to the case of a special almost D-complex symplectic manifold.
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Abczynski, Anna [Verfasser]. "On the Classification of Cohomology Bott Manifolds / Anna Abczynski." Bonn : Universitäts- und Landesbibliothek Bonn, 2013. http://d-nb.info/1045276685/34.

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Gareis, Stephan [Verfasser], and George [Akademischer Betreuer] Marinescu. "L^2-Cohomology of Coverings of q-convex Manifolds and Stein Spaces / Stephan Gareis. Gutachter: George Marinescu." Köln : Universitäts- und Stadtbibliothek Köln, 2015. http://d-nb.info/1084872455/34.

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Book chapters on the topic "Cohomology of D-Manifolds"

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Wedhorn, Torsten. "Appendix D: Homological Algebra." In Manifolds, Sheaves, and Cohomology, 317–30. Wiesbaden: Springer Fachmedien Wiesbaden, 2016. http://dx.doi.org/10.1007/978-3-658-10633-1_15.

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de la Ossa, Xenia, Magdalena Larfors, and Eirik E. Svanes. "Restrictions of Heterotic G2 Structures and Instanton Connections." In Geometry and Physics: Volume II, 503–18. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802020.003.0020.

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This chapter revisits recent results regarding the geometry and moduli of solutions of the heterotic string on manifolds Y with a G 2 structure. In particular, such heterotic G 2 systems can be rephrased in terms of a differential Ď acting on a complex Ωˇ∗(Y,Q), where Ωˇ=T∗Y⊕End(TY)⊕End(V), and Ď is an appropriate projection of an exterior covariant derivative D which satisfies an instanton condition. The infinitesimal moduli are further parametrized by the first cohomology HDˇ1(Y,Q). The chapter proceeds to restrict this system to manifolds X with an SU(3) structure corresponding to supersymmetric compactifications to four-dimensional Minkowski space, often referred to as Strominger–Hull solutions. In doing so, the chapter derives a new result: the Strominger–Hull system is equivalent to a particular holomorphic Yang–Mills covariant derivative on Q|X=T∗X⊕End(TX)⊕End(V).
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Conference papers on the topic "Cohomology of D-Manifolds"

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Kawashima, Katsutoshi. "Entire Cyclic Cohomology of Noncommutative Manifolds." In Proceedings of the Noncommutative Geometry and Physics 2008, on K-Theory and D-Branes & Proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814425018_0013.

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