Poisson geometry
In mathematics, a Poisson manifold is a smooth manifold M equipped with a bilinear map \{ \cdot,\cdot \}_{M} (called a Poisson bracket) on the algebra {C^{\infty}}(M) of smooth functions on M such that ({C^{\infty}}(M),\{ \cdot,\cdot \}_{M}) is a Poisson algebra. One usually denotes a Poisson manifold by the ordered pair (M,\{ \cdot,\cdot \}_{M}). Since their introduction by André Lichnerowicz in 1977, the subjects of Poisson geometry and the cohomology of Poisson manifolds have developed into a wide field of research, which includes modern-day non-commutative geometry.
It is a fact that every symplectic manifold is a Poisson manifold but not vice-versa. This will be explained in Section 2.

This is an excerpt from the article Poisson geometry from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
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Poisson manifold - Wikipedia, the free encyclopedia
Since their introduction by André Lichnerowicz in 1977, the subjects of Poisson geometry and the cohomology of Poisson manifolds have developed into a wide  ...
en.wikipedia.org/wiki/Poisson_manifold
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Poisson Geometry Home Page
Organizing committee: M. Crainic (Utrecht) and the Utrecht Poisson geometry Group. 2010: IMPA, Rio de Janeiro. Organizing committee: H. Bursztyn (Rio de ...
poissongeometry.org/
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An Introduction to Poisson Manifolds
The purpose of this paper is to introduce Poisson manifolds, and to prove the .... [ 2] Michael Spivak, A Comprehensive Introduction to Differential Geometry,.
www.math.toronto.edu/karshon/grad/2006-07/poisson.pdf
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Poisson 2014
Poisson 2014 is the 9th in a series of international conferences on Poisson geometry. It will be held at the University of Illinois at Urbana-Champaign campus .
www.math.uiuc.edu/Poisson2014/
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Poisson Geometry in Utrecht
Dmitry Roytenberg - Postdoc (webpage). Interests: Higher homotopical and categorical structures in differential geometry: differential graded supermanifolds,  ...
www.projects.science.uu.nl/poisson/people.html
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Poisson Geometry in Utrecht
Welcome to Poisson geometry in Utrecht University! Webmaster: Ori Yudilevich. News. The seminars of Fall 2013 begin on September 27, visit the seminars ...
www.projects.science.uu.nl/poisson/
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Poisson Geometry in Utrecht
Poisson geometry in Utrecht. Utrecht University - Mathematics Department. Home. frame_seminars. Friday Fish Seminars. On Fridays during the academic year ...
www.projects.science.uu.nl/poisson/seminarsevents.html
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Symplectic and Poisson geometry on b-manifolds
Jun 10, 2012 ... Mathematics > Symplectic Geometry ... This paper will be a systematic investigation of such Poisson manifolds. In particular, we will study in ...
arxiv.org/abs/1206.2020
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"Gone Fishing"-Poisson Geometry Meeting
Gone Fishing. This is the official site for the annual "Gone Fishing" meeting in North America for people interested in Poisson geometry to meet and discuss new ...
www.math.wustl.edu/~xtang/gone-fishing
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From Poisson to Quantum Geometry
Poisson geometry. 1.1 Poisson algebra. Definition 1.1. A Poisson algebra is an associative algebra A (over a field K) with a linear bracket {·,·}: A ⊗ A → A such ...
toknotes.mimuw.edu.pl/sem4/files/Ciccoli_fpqg.pdf
Search results for "Poisson geometry"
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Poisson geometry in science
Poisson 2014 - Department of Mathematics - University of Illinois at ...
Poisson 2014 is the 9th in a series of international conferences on Poisson geometry. It will be held at the University of Illinois at Urbana-Champaign campus .
Poisson Geometry in Utrecht
Welcome to Poisson geometry in Utrecht University! Webmaster: Ori Yudilevich. News. The seminars of Fall 2013 begin on September 27, visit the seminars ...
"Gone Fishing"-Poisson Geometry Meeting - Washington University ...
Gone Fishing. This is the official site for the annual "Gone Fishing" meeting in North America for people interested in Poisson geometry to meet and discuss new ...
Poisson Geometry Home Page
A series of international conferences on Poisson geometry. 2014: University of Illinois at Urbana-Champaign, U.S.A.. Organizing committee: Rui Loja Fernandes  ...
Gone Fishing (Poisson Geometry) - Department of Mathematics ...
... people interested in Poisson geometry to meet and discuss new ideas and results. It will be held on Sept. 28-29, 2013 at Temple University, Philadelphia, PA.
Summer School and Conference on Poisson Geometry
Symmetry and reduction in Poisson geometry, I ... Applications of Poisson geometry to physical problems, I ... Utrecht University, Utrecht, The Netherlands.
Poisson Geometry Deformation Quantisation And Group ...
Simone Gutt, Université Libre de Bruxelles; John Rawnsley, University of Warwick; Daniel ... Poisson geometry lies at the cusp of noncommutative algebra and ...
[PDF]Poisson Geometry - Mathematics Research Unit
Proceedings of the 4th Conference on. Poisson geometry. June 7–11, 2004. University of Luxembourg, Luxembourg City. Grand-Duchy of Luxembourg.
From Poisson to String Geometry » People » Workshop
Sep 15, 2012 ... We plan to bring together people working on Poisson geometry, on higher ... Dmitry Roytenberg, University of Nijmegen / Utrecht University ...
Alan Weinstein - Department of Mathematics - University of ...
Poisson geometry home page. This is a link to websites of the biennial meetings Poisson 2000+2n, where n=0,1,2,...., and a meeting in Warsaw in 1998.
Books on the term Poisson geometry
Poisson Geometry, Deformation Quantisation and Group Representations (London Mathematical Society Lecture Note...
Poisson Geometry, Deformation Quantisation and Group Representations (London Mathematical Society Lecture Note...
2005
Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a volume accessible to graduate students or experts from other fields. The ...
Poisson Geometry, Deformation Quantisation and Group ...
Poisson Geometry, Deformation Quantisation and Group ...
Simone Gutt, John Rawnsley, Daniel Sternheimer, 2005
An accessible introduction to Poisson geometry suitable for graduate students.
Lectures on the Geometry of Poisson Manifolds (Progress in Mathematics)
Lectures on the Geometry of Poisson Manifolds (Progress in Mathematics)
Izu Vaisman, 1994
This book is addressed to graduate students and researchers in the fields of mathematics and physics who are interested in mathematical and theoretical physics, differential geometry, mechanics, quantization theories and quantum physics, quantum groups etc., and who are familiar with differentiable and symplectic manifolds. The aim of the book is t...
Quantum Algebras and Poisson Geometry in Mathematical Physics
Quantum Algebras and Poisson Geometry in Mathematical Physics
Mikhail Vladimirovich Karasev, 2005
This collection presents new and interesting applications of Poisson geometry to some fundamental well-known problems in mathematical physics.
Nonlinear Poisson Brackets: Geometry and Quantization
Nonlinear Poisson Brackets: Geometry and Quantization
2012
This book deals with two old mathematical problems. The first is the problem of constructing an analog of a Lie group for general nonlinear Poisson brackets. The second is the quantization problem for such brackets in the semiclassical approximation (which is the problem of exact quantization for the simplest classes of brackets). These problems ar...
The Breadth of Symplectic and Poisson Geometry: Festschrift in Honor of Alan Weinstein (Progress in Mathematics...
The Breadth of Symplectic and Poisson Geometry: Festschrift in Honor of Alan Weinstein (Progress in Mathematics...
Jerrold E. Marsden, 2005
* The invited papers in this volume are written in honor of Alan Weinstein, one of the world’s foremost geometers * Contributions cover a broad range of topics in symplectic and differential geometry, Lie theory, mechanics, and related fields * Intended for graduate students and working mathematicians, this text is a distillation of prominent resea...
The Breadth of Symplectic and Poisson Geometry: Festschrift ...
The Breadth of Symplectic and Poisson Geometry: Festschrift ...
Jerrold E. Marsden, Tudor S. Ratiu, 2007
This book also covers Dirac structures, deformations for Lie group actions, and Kahler geometry of moduli spaces.
Cluster Algebra and Poisson Geometry (Mathematical Surveys and Monographs)
Cluster Algebra and Poisson Geometry (Mathematical Surveys and Monographs)
Michael Gekhtman, 2010
[This book is] a rather complete, self-contained and concise introduction to the connections between cluster algebras and Poisson geometry...a good reference for researchers on the topic...It is also suitable for graduate students since it starts from scratch ... One should also point out the successful pedagogical efforts that were made in order t...
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Poisson geometry
Poisson-Mannigfaltigkeit – Wikipedia
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Poisson manifold - Wikipedia, the free encyclopedia
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Poisson-Geometrie und Deformationsquantisierung: Eine Einführung Springer-Lehrbuch Masterclass German Edition: Amazon.de: Stefan Waldmann: Bücher
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Cluster Algebra and Poisson Geometry Mathematical Surveys and Monographs: Amazon.de: Michael Gekhtman, Michael Shapiro, Alek Vainshtein: Englische Bücher
Michael Gekhtman, Michael Shapiro, Alek Vainshtein - Cluster Algebra and Poisson geometry (Mathematical Surveys and jetzt kaufen. Kundrezensionen und 0.0 Sterne. Mathematics / Algebra /
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Poisson Geometry, Deformation Quantisation and Group Representations: London Mathematical Society Lecture Note Series, Band 323: Amazon.de: Simone Gutt: Englische Bücher
Simone Gutt - Poisson geometry, Deformation Quantisation and Group Representations: jetzt kaufen. Kundrezensionen und 0.0 Sterne. Mathematics / Applied
www.amazon.de/Geometry-Deformation-Quantisation-Representations-Mathematical/dp/0521615054
Symplectic Poisson Geometry on Loop Spaces of Smooth Manifolds, and Integrable Equations eBook: I.M.Krichever: Amazon.de: Kindle-Shop
Symplectic Poisson geometry on Loop Spaces of Smooth Manifolds, and Integrable Equations eBook: I.M.Krichever: Amazon.de: Kindle-Shop
www.amazon.de/Symplectic-Geometry-Manifolds-Integrable-Equations-ebook/dp/B000UYWKTU
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