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Lectures on Symplectic Geometry by Ana Cannas da Silva
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**About this book :- **
**Lectures on Symplectic Geometry ** written by
** Ana Cannas da Silva **

**Book Detail :- **
** Title: ** Lectures on Symplectic Geometry
** Edition: **
** Author(s): ** Ana Cannas da Silva
** Publisher: **
** Series: ** Lecture Notes in Mathematics 629
** Year: ** 2006
** Pages: ** 225
** Type: ** PDF
** Language: ** English
** ISBN: **
** Country: **

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**Book Contents :- **
**Lectures on Symplectic Geometry ** written by
** Ana Cannas da Silva **
cover the following topics.
**I Symplectic Manifolds**

1. Symplectic Forms

2. Symplectic Form on the Cotangent Bundle
**II Symplectomorphisms**

3. Lagrangian Submanifolds

4. Generating Functions

5. Recurrence
**III Local Forms **

6. Preparation for the Local Theory

7. Moser Theorems

8. Darboux-Moser-Weinstein Theory

9. Weinstein Tubular Neighborhood Theorem
**IV Contact Manifolds**

10. Contact Forms

11. Contact Dynamics
**V Compatible Almost Complex Structures **

12. Almost Complex Structures

13. Compatible Triples

14. Dolbeault Theory
**VI K¨ahler Manifolds**

15. Complex Manifolds

16. K¨ahler Forms

17. Compact K¨ahler Manifolds
**VII Hamiltonian Mechanics**

18. Hamiltonian Vector Fields

19. Variational Principles

20. Legendre Transform
**VII Hamiltonian Mechanics**

19 Variational Principles

20 Legendre Transform
**VIII Moment Maps**

21. Actions

22. Hamiltonian Actions
**IX Symplectic Reduction**

23. The Marsden-Weinstein-Meyer Theorem

24. Reduction
**X Moment Maps Revisited**

25. Moment Map in Gauge Theory

26. Existence and Uniqueness of Moment Maps

27. Convexity
**XI Symplectic Toric Manifolds**

28. Classification of Symplectic Toric Manifolds

29.0Delzant Construction

30. Duistermaat-Heckman Theorems

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