
Introduction to Symplectic Topology
by Dusa McDuff, Dietmar Salamon
3rd Edition
Publisher: Oxford University Press
Book Details
| Print ISBN | 9780198794899 |
| eText ISBN | 9780192514011 |
| Publisher | Oxford University Press |
| Publishing Year | 2017 |
| Edition | 3rd Edition |
| Language | English |
| Pages | 636 |
Introduction to Symplectic Topology, 3rd Edition, presents the modern global theory of symplectic topology. Originally published in 1995 as the subject's first comprehensive textbook, the work incorporates major developments driven by analytical and topological methods.
The text establishes foundational concepts in linear geometry and almost complex structures alongside the geometry and construction of symplectic manifolds. It also explores symplectomorphisms and key topological invariants, illustrating how analytical techniques address problems such as the Arnold conjecture.
Published within the Oxford Graduate Texts in Mathematics series, this edition serves as an accessible resource for graduate students beginning their study while providing an enduring reference for specialists.
Table of Contents
Chapter 1: From classical to modern
Chapter 2: Linear symplectic geometry
Chapter 3: Symplectic manifolds
Chapter 4: Almost complex structures
Chapter 5: Symplectic group actions
Chapter 6: Symplectic Fibrations
Chapter 7: Constructing Symplectic Manifolds
Chapter 8: Area-preserving dieomorphisms
Chapter 9: Generating functions
Chapter 10: The group of symplectomorphisms
Chapter 11: The Arnold conjecture
Chapter 12: Symplectic capacities
Chapter 13: Questions of existence and uniqueness
Chapter 14: Open problems
Chapter A: Smooth Maps
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