Relevant bibliographies by topics / Lagrangian embeddings

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Lagrangian embeddings'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Lagrangian embeddings"

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Yoshiyasu, Toru. "On Lagrangian embeddings into the complex projective spaces." International Journal of Mathematics 27, no. 05 (May 2016): 1650044. http://dx.doi.org/10.1142/s0129167x16500440.

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We prove that for any closed orientable connected [Formula: see text]-manifold [Formula: see text] and any Lagrangian immersion of the connected sum [Formula: see text] either into the complex projective [Formula: see text]-space [Formula: see text] or into the product [Formula: see text] of the complex projective line and the complex projective plane, there exists a Lagrangian embedding which is homotopic to the initial Lagrangian immersion. To prove this, we show that Eliashberg–Murphy’s [Formula: see text]-principle for Lagrangian embeddings with a concave Legendrian boundary and Ekholm–Eliashberg–Murphy–Smith’s [Formula: see text]-principle for self-transverse Lagrangian immersions with the minimal or near-minimal number of double points hold for six-dimensional simply connected compact symplectic manifolds.
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Müller, Stefan. "C0-characterization of symplectic and contact embeddings and Lagrangian rigidity." International Journal of Mathematics 30, no. 09 (August 2019): 1950035. http://dx.doi.org/10.1142/s0129167x19500356.

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We present a novel [Formula: see text]-characterization of symplectic embeddings and diffeomorphisms in terms of Lagrangian embeddings. Our approach is based on the shape invariant, which was discovered by Sikorav and Eliashberg, intersection theory and the displacement energy of Lagrangian submanifolds, and the fact that non-Lagrangian submanifolds can be displaced immediately. This characterization gives rise to a new proof of [Formula: see text]-rigidity of symplectic embeddings and diffeomorphisms. The various manifestations of Lagrangian rigidity that are used in our arguments come from [Formula: see text]-holomorphic curve methods. An advantage of our techniques is that they can be adapted to a [Formula: see text]-characterization of contact embeddings and diffeomorphisms in terms of coisotropic (or pre-Lagrangian) embeddings, which in turn leads to a proof of [Formula: see text]-rigidity of contact embeddings and diffeomorphisms. We give a detailed treatment of the shape invariants of symplectic and contact manifolds, and demonstrate that shape is often a natural language in symplectic and contact topology. We consider homeomorphisms that preserve shape, and propose a hierarchy of notions of Lagrangian topological submanifold. Moreover, we discuss shape-related necessary and sufficient conditions for symplectic and contact embeddings, and define a symplectic capacity from the shape.
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Bykov, Dmitri. "Haldane limits via Lagrangian embeddings." Nuclear Physics B 855, no. 1 (February 2012): 100–127. http://dx.doi.org/10.1016/j.nuclphysb.2011.10.005.

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Biran, P. "Lagrangian barriers and symplectic embeddings." Geometric and Functional Analysis 11, no. 3 (August 2001): 407–64. http://dx.doi.org/10.1007/pl00001678.

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Hofer, Helmut. "Lagrangian embeddings and critical point theory." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 2, no. 6 (November 1985): 407–62. http://dx.doi.org/10.1016/s0294-1449(16)30394-8.

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Cieliebak, K., and K. Mohnke. "Punctured holomorphic curves and Lagrangian embeddings." Inventiones mathematicae 212, no. 1 (November 27, 2017): 213–95. http://dx.doi.org/10.1007/s00222-017-0767-8.

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Han, Qing, and Guofang Wang. "Hessian surfaces and local Lagrangian embeddings." Annales de l'Institut Henri Poincaré C, Analyse non linéaire 35, no. 3 (May 2018): 675–85. http://dx.doi.org/10.1016/j.anihpc.2017.07.003.

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KASUYA, NAOHIKO, and TORU YOSHIYASU. "ON LAGRANGIAN EMBEDDINGS OF PARALLELIZABLE MANIFOLDS." International Journal of Mathematics 24, no. 09 (August 2013): 1350073. http://dx.doi.org/10.1142/s0129167x13500730.

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We prove that for any closed parallelizable n-manifold Mn, if the dimension n ≠ 7, or if n = 7 and the Kervaire semi-characteristic χ½(M7) is zero, then Mn can be embedded in the Euclidean space ℝ2n with a certain symplectic structure as a Lagrangian submanifold. By the results of Gromov and Fukaya, our result gives rise to symplectic structures of ℝ2n(n ≥ 3) which are not conformally equivalent to open domains in standard ones.
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Ramos, Vinicius Gripp Barros. "Symplectic embeddings and the Lagrangian bidisk." Duke Mathematical Journal 166, no. 9 (June 2017): 1703–38. http://dx.doi.org/10.1215/00127094-0000011x.

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Biran, Paul, and Kai Cieliebak. "Lagrangian embeddings into subcritical Stein manifolds." Israel Journal of Mathematics 127, no. 1 (December 2002): 221–44. http://dx.doi.org/10.1007/bf02784532.

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Dissertations / Theses on the topic "Lagrangian embeddings"

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Ritter, Alexander F. (Alexander Friedrich). "The Novikov theory for symplectic cohomology and exact Lagrangian embeddings." Thesis, Massachusetts Institute of Technology, 2009. http://hdl.handle.net/1721.1/50271.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Includes bibliographical references (leaves 121-123).
Given an exact symplectic manifold, can we find topological constraints to the existence of exact Lagrangian submanifolds? I developed an approach using symplectic cohomology which provides such conditions for exact Lagrangians inside cotangent bundles and inside ALE hyperkähler spaces. For example, the only exact Lagrangians inside ALE hyperkähler spaces must be spheres. The vanishing of symplectic cohomology is an obstruction to the existence of exact Lagrangians. In the above applications even though the ordinary symplectic cohomology does not vanish, one can prove that a Novikov homology analogue for symplectic cohomology does vanish.
by Alexander F. Ritter.
Ph.D.
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Rocha, Kelvin Raymond. "A variational approach for viewpoint-based visibility maximization." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/24816.

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Thesis (Ph.D.)--Electrical and Computer Engineering, Georgia Institute of Technology, 2008.
Committee Chair: Allen R. Tannenbaum; Committee Member: Anthony J. Yezzi; Committee Member: Gregory Turk; Committee Member: Joel R. Jackson; Committee Member: Patricio A. Vela
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Book chapters on the topic "Lagrangian embeddings"

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Escolano, Francisco, and Edwin R. Hancock. "From Points to Nodes: Inverse Graph Embedding through a Lagrangian Formulation." In Computer Analysis of Images and Patterns, 194–201. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23672-3_24.

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Janicke, Lutz. "The Embedding of the Lagrangian Dispersion Model LASAT into a Monitoring System for Nuclear Power Plants." In Air Pollution Modeling and Its Application X, 405–11. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4615-1817-4_44.

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Polterovich, Leonid. "The Maslov class rigidity and non-existence of Lagrangian embeddings." In Symplectic Geometry, 197–202. Cambridge University Press, 1994. http://dx.doi.org/10.1017/cbo9780511526343.012.

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Conference papers on the topic "Lagrangian embeddings"

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CHIANG, R. "CONSTRUCTION OF LAGRANGIAN EMBEDDINGS USING HAMILTONIAN ACTIONS." In Proceedings of the COE International Workshop. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812775061_0007.

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Zhang, Qinghong, Gang Chen, and Ting Zhang. "Self-Dual Embedding for SDP Using ELSD and its Lagrangian Dual." In 2010 Third International Joint Conference on Computational Science and Optimization. IEEE, 2010. http://dx.doi.org/10.1109/cso.2010.139.

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Demetriou, Michael A., and Fariba Fahroo. "Estimation of spatial fields using asymptotic embedding methods and Lagrangian sensing." In 2012 IEEE 51st Annual Conference on Decision and Control (CDC). IEEE, 2012. http://dx.doi.org/10.1109/cdc.2012.6426741.

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Dwivedi, S. K., and H. D. Espinosa. "Modeling Intersonic Crack Propagation in Fiber Reinforced Composites With Contact/Cohesive Laws." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/ad-25313.

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Abstract Dynamic crack propagation in an unidirectional Carbon/Epoxy composite is studied through finite element analyses in total Lagrangian co-ordinates. A finite deformation anisotropic visco-plastic model is used to describe the constitutive response of the composite. Crack initiation and propagation is simulated by embedding zero thickness interface element along the possible crack path. An irreversible cohesive law is used to describe the evolution of normal and shear tractions as a function of displacement jumps. The compressive response prior to interface failure is analyzed using contact impenetrability conditions. The failure of the first interface element at the pre-notch tip models crack initiation. Crack propagation is modeled through consecutive failure of interface elements. Dynamic crack propagation phenomena are studied in terms of crack initiation time, crack speed, mode I and mode II displacement jumps and tractions associated with the failure of interface elements, effective plastic strain at the crack tip and path independent integral J′. Analyses are first carried out for the dynamic crack propagation along bi-material interfaces. The results obtained from present analyses agree well with literature data. Detailed analyses are carried out for a pre-notched unidirectional Carbon/Epoxy composite material. The impact velocity in the analyses is an imposed velocity over an assumed impact region and remains constant throughout the analysis. Analyses are carried out at impact velocities of 5, 10, 20, 30 and 40 m/s, assuming the crack wake is frictionless. Moreover, analyses at impact velocities of 30 and 40 m/s are also carried out with a friction coefficient of 0.5 along the crack surfaces. The analyses established intersonic crack speed in the fiber reinforced composite material. Intersonic crack propagation for the impact velocities of 40 m/s is 400% of the shear wave speed and 87% of the longitudinal wave speed. Detailed discussion is given on the features of sub-sonic and intersonic crack propagation in Carbon/Epoxy composite materials. It is shown that the friction coefficient along the crack surface plays an important role by smearing the discontinuous field that develops behind the crack tip and by reducing crack speed in the intersonic regime. The analyses show that the contour integral J′ computed at near field contours are path independent and can serve as a parameter for characterizing intersonic crack propagation.
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