Poisson Structures and Their Normal Forms by Jean-Paul Dufour
Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold: On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects, including singular foliations, Lie groupoids and Lie algebroids. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books.
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Groupoids, Inverse Semigroups, and their Operator Algebras
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Extrinsic Geometry of Foliations
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Progress in Mathematics
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Groups, Radical Rings, and the Yang-Baxter Equation
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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves
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De Rham Cohomology of Differential Modules on Algebraic Varieties
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Cubic Forms and the Circle Method
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Noncommutative Functional Calculus
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Thermodynamic Formalism and Applications to Dimension Theory
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Representation Theory, Mathematical Physics, and Integrable Systems
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Hypoelliptic Laplacian and BottChern Cohomology
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Yamabe-type Equations on Complete, Noncompact Manifolds
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Arithmetic and Geometry Around Galois Theory
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Evolution Equations of Hyperbolic and Schrodinger Type
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Vector Bundles on Complex Projective Spaces
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Residue Currents and Bezout Identities
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Tubes
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Seminaire de Theorie des Nombres, Paris 1987-88
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Lecture Notes on Mean Curvature Flow
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European Congress of Mathematics
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Momentum Maps and Hamiltonian Reduction
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Symplectic Geometry and Secondary Characteristic Classes
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Vanishing Theorems on Complex Manifolds
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Lie Groups: Structure, Actions, and Representations
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Ergodic Theory and Dynamical Systems I
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Andreotti-Grauert Theory by Integral Formulas
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Critical Point Theory for Lagrangian Systems
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Perspectives on Four Decades of Algebraic Geometry, Volume 2
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Complex Approximation
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The Radon Transform
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Quadratic Forms in Infinite Dimensional Vector Spaces
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Arithmetic on Modular Curves
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Complex Kleinian Groups
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Cardinal Invariants on Boolean Algebras
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Discrete Groups in Geometry and Analysis
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Lectures on Functor Homology
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New Horizons in pro-p Groups
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Introduction to Vertex Operator Algebras and Their Representations
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Topological Field Theory, Primitive Forms and Related Topics
| SKU | Unavailable |
| ISBN 13 | 9783764373344 |
| ISBN 10 | 3764373342 |
| Title | Poisson Structures and Their Normal Forms |
| Author | Jean Paul Dufour |
| Series | Progress In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Birkhauser Verlag AG |
| Year published | 2005-09-16 |
| Number of pages | 324 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |