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Symplectic Geometry

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Author(s): A. R. Pires, ed. Dexter Chua
Series: Cambridge Mathematical Tripos Part III Lecture Notes
Publisher: University of Cambridge
Year: 2018

Language: English
City: Cambridge
Tags: maths; mathematics; math; advanced; college; university; higher; further; pure; applied

Symplectic manifolds
Symplectic linear algebra
Symplectic manifolds
Symplectomorphisms and Lagrangians
Periodic points of symplectomorphisms
Lagrangian submanifolds and fixed points
Complex structures
Almost complex structures
Dolbeault theory
Kähler manifolds
Hodge theory
Hamiltonian vector fields
Hamiltonian vector fields
Integrable systems
Classical mechanics
Hamiltonian actions
Symplectic reduction
The convexity theorem
Toric manifolds
Symplectic embeddings
Index