Poisson Geometry, Deformation Quantisation and Group Representations / edited by Simone Gutt, John Rawnsley, Daniel Sternheimer.
An accessible introduction to Poisson geometry suitable for graduate students.
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| Online Access: |
Full Text (via Cambridge) |
|---|---|
| Other Authors: | , , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2005.
|
| Series: | London Mathematical Society lecture note series ;
no. 323. |
| Subjects: |
Table of Contents:
- pt. 1. Poisson geometry and Morita equivalence
- 1. Introduction
- 2. Poisson geometry and some generalizations
- 3. Algebraic Morita equivalence
- 4. Geometric Morita equivalence
- 5. Geometric representation equivalence
- pt. 2. Formality and star products
- 1. Introduction
- 2. The star product
- 3. Rephrasing the main problem : the formality
- 4. Digression : what happens in the dual
- 5. The Kontsevich formula
- 6. From local to global deformation quantization
- pt. 3. Lie groupoids, sheaves and cohomology
- 1. Introduction
- 2. Lie groupoids
- 3. Sheaves on Lie groupoids
- 4. Sheaf cohomology
- 5. Compactly supported cohomology
- pt. 4. Geometric methods in representation theory.