Lectures on Symplectic Geometry (Lecture Notes in Mathematics #1764) (Paperback)

Lectures on Symplectic Geometry (Lecture Notes in Mathematics #1764) By Ana Cannas Da Silva Cover Image
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Symplectic Manifolds.- Symplectic Forms.- Symplectic Form on the Cotangent Bundle.- Symplectomorphisms.- Lagrangian Submanifolds.- Generating Functions.- Recurrence.- Local Forms.- Preparation for the Local Theory.- Moser Theorems.- Darboux-Moser-Weinstein Theory.- Weinstein Tubular Neighborhood Theorem.- Contact Manifolds.- Contact Forms.- Contact Dynamics.- Compatible Almost Complex Structures.- Almost Complex Structures.- Compatible Triples.- Dolbeault Theory.- K hler Manifolds.- Complex Manifolds.- K hler Forms.- Compact K hler Manifolds.- Hamiltonian Mechanics.- Hamiltonian Vector Fields.- Variational Principles.- Legendre Transform.- Moment Maps.- Actions.- Hamiltonian Actions.- Symplectic Reduction.- The Marsden-Weinstein-Meyer Theorem.- Reduction.- Moment Maps Revisited.- Moment Map in Gauge Theory.- Existence and Uniqueness of Moment Maps.- Convexity.- Symplectic Toric Manifolds.- Classification of Symplectic Toric Manifolds.- Delzant Construction.- Duistermaat-Heckman Theorems.

Product Details
ISBN: 9783540421955
ISBN-10: 3540421955
Publisher: Springer
Publication Date: July 17th, 2001
Pages: 220
Language: English
Series: Lecture Notes in Mathematics