Lectures on symplectic geometry

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.- ... Read More

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. Read Less

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  	Edition: 2001, Springer Trade paperback, New Available Copies: 10+	Details: ISBN: 3540421955 ISBN-13: 9783540421955 Pages: 220 Edition: Corrected 2008, Corr Publisher: Springer Published: 2001 Language: English Alibris ID: 9625193458	Shipping Options: Standard Shipping: $4.70 Choose your shipping method in Checkout. Costs may vary based on destination.
  Seller's Description: New. Print on demand Trade paperback (US). Glued binding. 220 p. Contains: Unspecified. Lecture Notes in Mathematics, 1764.
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2008, Springer ISBN-13: 9783540862543 Trade paperback See All from $114.53

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