Literatura académica sobre el tema "Symplectic groupoids"
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Artículos de revistas sobre el tema "Symplectic groupoids"
MACKENZIE, K. C. H. "ON SYMPLECTIC DOUBLE GROUPOIDS AND THE DUALITY OF POISSON GROUPOIDS". International Journal of Mathematics 10, n.º 04 (junio de 1999): 435–56. http://dx.doi.org/10.1142/s0129167x99000185.
Texto completoCattaneo, Alberto S., Benoit Dherin y Giovanni Felder. "Formal Lagrangian Operad". International Journal of Mathematics and Mathematical Sciences 2010 (2010): 1–36. http://dx.doi.org/10.1155/2010/643605.
Texto completoXU, PING. "ON POISSON GROUPOIDS". International Journal of Mathematics 06, n.º 01 (febrero de 1995): 101–24. http://dx.doi.org/10.1142/s0129167x95000080.
Texto completoŠevera, Pavol y Michal Širaň. "Integration of Differential Graded Manifolds". International Mathematics Research Notices 2020, n.º 20 (15 de febrero de 2019): 6769–814. http://dx.doi.org/10.1093/imrn/rnz004.
Texto completoCattaneo, Alberto S. y Ivan Contreras. "Relational Symplectic Groupoids". Letters in Mathematical Physics 105, n.º 5 (22 de abril de 2015): 723–67. http://dx.doi.org/10.1007/s11005-015-0760-3.
Texto completoGualtieri, Marco y Songhao Li. "Symplectic Groupoids of Log Symplectic Manifolds". International Mathematics Research Notices 2014, n.º 11 (1 de marzo de 2013): 3022–74. http://dx.doi.org/10.1093/imrn/rnt024.
Texto completoMehta, Rajan Amit y Xiang Tang. "Constant symplectic 2-groupoids". Letters in Mathematical Physics 108, n.º 5 (15 de noviembre de 2017): 1203–23. http://dx.doi.org/10.1007/s11005-017-1026-z.
Texto completo戴, 远莉. "Symplectic Reduction for Cotangent Groupoids". Pure Mathematics 11, n.º 03 (2021): 323–29. http://dx.doi.org/10.12677/pm.2021.113043.
Texto completoWeinstein, Alan. "Symplectic groupoids and Poisson manifolds". Bulletin of the American Mathematical Society 16, n.º 1 (1 de enero de 1987): 101–5. http://dx.doi.org/10.1090/s0273-0979-1987-15473-5.
Texto completoLi, Songhao y Dylan Rupel. "Symplectic groupoids for cluster manifolds". Journal of Geometry and Physics 154 (agosto de 2020): 103688. http://dx.doi.org/10.1016/j.geomphys.2020.103688.
Texto completoTesis sobre el tema "Symplectic groupoids"
Cosserat, Oscar. "Theory and Construction of Structure Preserving Integrators in Poisson Geometry". Electronic Thesis or Diss., La Rochelle, 2023. http://www.theses.fr/2023LAROS018.
Texto completoWe introduce for any Poisson structure on a manifold the notion of bi-realisation and illustrate it by examples. We define Hamiltonian Poisson integrators as Poisson integrators for which discrete trajectory follows the flow of a time-dependent Hamiltonian. Next, a construction of a Hamiltonian Poisson integrator for generic Poisson structure, Hamiltonian H, order k and time-step t are given via any truncation at order k of the Hamilton-Jacobi transform S¬t(H) of the Hamiltonian H on a bi-realisation of the Poisson structure. We also define the Farmer sequence and we explain how it gives explicit recursive formulae to solve Hamilton-Jacobi equation at an arbitrary order. We explain how local symplectic groupoids provide a geometric interpretation of the notion of bi-realisation. We define for any time-dependent Hamiltonian H its Magnus series to construct, for any Hamiltonian Poisson integrator, a modified Hamiltonian. To conclude, we compare our integrators with Runge-Kutta methods on the example of rigid body dynamics and Lotka-Volterra differential equations, in particular on long run simulations. In Dirac geometry, we introduce the canonical horizontal 2-cocycle of a Dirac structure. Under the sufficiency condition of its exactness, we exhibit for any Hamiltonian H a functional for which critical points are exactly integral curves of Hamiltonian vector fields of H. We also deduce from the previous result a generalisation of the Legendre transform to Dirac structures
Li, Travis Songhao. "Constructions of Lie Groupoids". Thesis, 2013. http://hdl.handle.net/1807/43638.
Texto completoLibros sobre el tema "Symplectic groupoids"
Dazord, Pierre y Alan Weinstein, eds. Symplectic Geometry, Groupoids, and Integrable Systems. New York, NY: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4613-9719-9.
Texto completoSéminaire, sud-rhodanien de géométrie (6th 1989 Berkeley Calif ). Symplectic geometry, groupoids, and integrable systems. New York: Springer-Verlag, 1991.
Buscar texto completoSéminaire Sud-Rhodanien de Géométrie (6th 1989 Berkeley, Calif.). Symplectic geometry, groupoids, and integrable systems: Séminaire Sud Rhodanien de Géométrie à Berkeley (1989). Editado por Dazord P y Weinstein Alan. New York: Springer-Verlag, 1991.
Buscar texto completo1963-, Shapiro Michael y Vainshtein Alek 1958-, eds. Cluster algebra and Poisson geometry. Providence, R.I: American Mathematical Society, 2010.
Buscar texto completo(Editor), Pierre Dazord y Alan Weinstein (Editor), eds. Symplectic Geometry, Groupoids, and Integrable Systems: Seminaire Sud Rhodanien de Geometrie a Berkeley (1989) (Mathematical Sciences Research Institute Publications). Springer, 1991.
Buscar texto completoWeinstein, Alan y Pierre Dazord. Symplectic Geometry, Groupoids, and Integrable Systems: Séminaire Sud Rhodanien de Géométrie à Berkeley. Springer, 2012.
Buscar texto completoWeinstein, Alan y Pierre Dazord. Symplectic Geometry, Groupoids, and Integrable Systems: Séminaire Sud Rhodanien de Géométrie à Berkeley. Springer, 2012.
Buscar texto completoCapítulos de libros sobre el tema "Symplectic groupoids"
Xu, Ping. "Morita Equivalent Symplectic Groupoids". En Mathematical Sciences Research Institute Publications, 291–311. New York, NY: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4613-9719-9_20.
Texto completoCattaneo, Alberto S. y Giovanni Felder. "Poisson sigma models and symplectic groupoids". En Quantization of Singular Symplectic Quotients, 61–93. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8364-1_4.
Texto completoVaisman, Izu. "Realizations of Poisson Manifolds by Symplectic Groupoids". En Lectures on the Geometry of Poisson Manifolds, 135–59. Basel: Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8495-2_10.
Texto completoWeinstein, Alan. "Symplectic Groupoids, Geometric Quantization, and Irrational Rotation Algebras". En Mathematical Sciences Research Institute Publications, 281–90. New York, NY: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4613-9719-9_19.
Texto completoLauter, Robert y Victor Nistor. "Analysis of geometric operators on open manifolds: A groupoid approach". En Quantization of Singular Symplectic Quotients, 181–229. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8364-1_8.
Texto completo"Symplectic groupoids". En Lectures on Poisson Geometry, 361–418. Providence, Rhode Island: American Mathematical Society, 2021. http://dx.doi.org/10.1090/gsm/217/17.
Texto completoMarle, C. M. "Lie, Symplectic, and Poisson Groupoids and Their Lie Algebroids". En Encyclopedia of Mathematical Physics, 312–20. Elsevier, 2006. http://dx.doi.org/10.1016/b0-12-512666-2/00145-0.
Texto completo"Poisson and Symplecfie Groupoids". En General Theory of Lie Groupoids and Lie Algebroids, 408–45. Cambridge University Press, 2005. http://dx.doi.org/10.1017/cbo9781107325883.015.
Texto completoActas de conferencias sobre el tema "Symplectic groupoids"
Mackenzie, Kirill. "FROM SYMPLECTIC GROUPOIDS TO DOUBLE STRUCTURES". En Villa de Leyva Summer School. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789814730884_0005.
Texto completoBonechi, Francesco, Nicola Ciccoli y Marco Tarlini. "Quantization of the symplectic groupoid". En Proceedings of the Corfu Summer Institute 2011. Trieste, Italy: Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.155.0060.
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