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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 Kahler Manifolds
15 Complex Manifolds
16 Kahler Forms
17 Compact Kahler Manifolds
VII Hamiltonian Mechanics
18 Hamiltonian Vector Fields
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 Delzant Construction
30 Duistermaat-Heckman Theorems
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Lectures on Symplectic Geometry
Ana Cannas da Silva
Ana Cannas da Silva
Table of Contents
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 Kahler Manifolds
15 Complex Manifolds
16 Kahler Forms
17 Compact Kahler Manifolds
VII Hamiltonian Mechanics
18 Hamiltonian Vector Fields
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 Delzant Construction
30 Duistermaat-Heckman Theorems
Note: When you open MultiHost link below to MultiHost you can find 4 file hosting sites links in which you can download with your desired hosting site
Click Here To Download
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