Poisson manifold (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Poisson manifold" in English language version.

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Jacobi, Carl Gustav Jakob (1884). Borchardt, C. W.; Clebsch, A. (eds.). Vorlesungen über Dynamik, gehalten an der Universitäit zu Königsberg im Wintersemester 1842-1843 [Lectures on Dynamics, held at the University of Königsberg in the Winter Semester 1842-1843] (in German). G. Reimer.

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Lie, Sophus (1890). Theorie der Transformationsgruppen Abschn. 2 [Theory of Transformation Groups Part 2] (in German). Leipzig: Teubner.
Fernández, Marisa; Ibáñez, Raúl; de León, Manuel (1996). "Poisson cohomology and canonical homology of Poisson manifolds". Archivum Mathematicum. 032 (1): 29–56. ISSN 0044-8753.
Weinstein, Alan (1993–1994). "Deformation quantization". Séminaire Bourbaki. 36: 389–409. ISSN 0303-1179.

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Gutt, Simone (2011). "Deformation quantisation of Poisson manifolds". Geometry & Topology Monographs. 17: 171–220.
Laurent-Gengoux, Camille; Stienon, Mathieu; Xu, Ping (2011). "Lectures on Poisson groupoids". Geometry & Topology Monographs. 17: 473–502. arXiv:0707.2405. doi:10.2140/gtm.2011.17.473 (inactive 2024-11-10).{{cite journal}}: CS1 maint: DOI inactive as of November 2024 (link)

numdam.org

Coste, A.; Dazord, P.; Weinstein, A. (1987). "Groupoïdes symplectiques" [Symplectic groupoids]. Publications du Département de mathématiques (Lyon) (in French) (2A): 1–62. ISSN 2547-6300.
Koszul, Jean-Louis (1985). "Crochet de Schouten-Nijenhuis et cohomologie" [Schouten-Nijenhuis bracket and cohomology]. Astérisque (in French). S131: 257–271.

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Libermann, Paulette; Marle, Charles-Michel (1987). Symplectic Geometry and Analytical Mechanics. Dordrecht: Springer Netherlands. doi:10.1007/978-94-009-3807-6. ISBN 978-90-277-2439-7.
Arnold, V. I. (1989). Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics. Vol. 60. New York, NY: Springer New York. doi:10.1007/978-1-4757-2063-1. ISBN 978-1-4419-3087-3.
Marsden, Jerrold E.; Ratiu, Tudor S. (1999). Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems. Texts in Applied Mathematics. Vol. 17. New York, NY: Springer New York. doi:10.1007/978-0-387-21792-5. ISBN 978-1-4419-3143-6.
Vaisman, Izu (1994). Lectures on the Geometry of Poisson Manifolds. Basel: Birkhäuser Basel. doi:10.1007/978-3-0348-8495-2. ISBN 978-3-0348-9649-8.
Laurent-Gengoux, Camille; Pichereau, Anne; Vanhaecke, Pol (2013). Poisson Structures. Grundlehren der mathematischen Wissenschaften. Vol. 347. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/978-3-642-31090-4. ISBN 978-3-642-31089-8.
Albert, Claude; Dazord, Pierre (1991). "Groupoïdes de Lie et Groupoïdes Symplectiques". In Dazord, Pierre; Weinstein, Alan (eds.). Symplectic Geometry, Groupoids, and Integrable Systems [Lie Groupoids and Symplectic Groupoids]. Mathematical Sciences Research Institute Publications (in French). Vol. 20. New York, NY: Springer US. pp. 1–11. doi:10.1007/978-1-4613-9719-9_1. ISBN 978-1-4613-9719-9.
Zambon, Marco (2011). Ebeling, Wolfgang; Hulek, Klaus; Smoczyk, Knut (eds.). "Submanifolds in Poisson geometry: a survey". Complex and Differential Geometry. Springer Proceedings in Mathematics. 8. Berlin, Heidelberg: Springer: 403–420. doi:10.1007/978-3-642-20300-8_20. ISBN 978-3-642-20300-8.
Esposito, Chiara (2015). Formality Theory: From Poisson Structures to Deformation Quantization. SpringerBriefs in Mathematical Physics. Vol. 2. Cham: Springer International Publishing. Bibcode:2015ftfp.book.....E. doi:10.1007/978-3-319-09290-4. ISBN 978-3-319-09289-8.
Dufour, Jean-Paul; Zung, Nguyen Tien (2005). Bass, H.; Oesterlé, J.; Weinstein, A. (eds.). Poisson Structures and Their Normal Forms. Progress in Mathematics. Vol. 242. Basel: Birkhäuser-Verlag. doi:10.1007/b137493. ISBN 978-3-7643-7334-4.

uni.lu

Ševera, Pavol (2005). "Some title containing the words "homotopy" and "symplectic", e.g. this one" (PDF). Travaux mathématiques. Proceedings of the 4th Conference on Poisson Geometry: June 7-11, 2004. 16. Luxembourg: University of Luxembourg: 121–137. ISBN 978-2-87971-253-6.

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Cattaneo, Alberto S.; Felder, Giovanni (2001). "Poisson sigma models and symplectic groupoids" (PDF). Quantization of Singular Symplectic Quotients. Basel: Birkhäuser. pp. 61–93. doi:10.1007/978-3-0348-8364-1_4. ISBN 978-3-0348-8364-1. S2CID 10248666.
Cattaneo, Alberto S.; Indelicato, Davide Maria Giuseppe (2005). Gutt, Simone; Rawnsley, John; Sternheimer, Daniel (eds.). "Formality and star products". London Mathematical Society Lecture Note Series. 323 (323): 79–144. arXiv:math/0403135. doi:10.1017/CBO9780511734878.008.

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Poisson manifold (English Wikipedia)

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