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Introduction to Symplectic Topology cover

Introduction to Symplectic Topology

by Dusa McDuff, Dietmar Salamon

3rd Edition

Publisher: Oxford University Press

(0 reviews)
Mathematics

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Book Details

Print ISBN9780198794899
eText ISBN9780192514011
PublisherOxford University Press
Publishing Year2017
Edition3rd Edition
LanguageEnglish
Pages636

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

  1. Chapter 1: From classical to modern

  2. Chapter 2: Linear symplectic geometry

  3. Chapter 3: Symplectic manifolds

  4. Chapter 4: Almost complex structures

  5. Chapter 5: Symplectic group actions

  6. Chapter 6: Symplectic Fibrations

  7. Chapter 7: Constructing Symplectic Manifolds

  8. Chapter 8: Area-preserving dieomorphisms

  9. Chapter 9: Generating functions

  10. Chapter 10: The group of symplectomorphisms

  11. Chapter 11: The Arnold conjecture

  12. Chapter 12: Symplectic capacities

  13. Chapter 13: Questions of existence and uniqueness

  14. Chapter 14: Open problems

  15. Chapter A: Smooth Maps

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