Contact and symplectic geometry /

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Bibliographic Details
Imprint:New York : Cambridge University Press, 1996.
Description:xviii, 310 p. : ill. ; 24 cm.
Language:English
Series:Publications of the Newton Institute 8
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/2546368
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Other authors / contributors:Thomas, C. B. (Charles Benedict)
ISBN:0521570867 (hardback)
Notes:Includes bibliographical references.
Table of Contents:
  • Preface
  • Contributors
  • Introduction
  • Part I. Geometric Methods
  • 1. J-curves and the classification of rational and ruled symplectic 4-manifolds
  • 2. Periodic Hamiltonian flows on four dimensional manifolds
  • 3. 3-Dimensional contact geometry (based on lectures of Y. Eliashberg and E. Giroux)
  • 4. Topology and analysis of contact circles
  • 5. Properties of pseudoholomorphic curves in symplectisation IV: asymptotics with degeneracies
  • 6. Pseudo-holomorphic curves and Bernoulli shifts
  • 7. On closed trajectories of a charge in a magnetic field
  • An application of symplectic geometry Viktor
  • Part II. Symplectic Invariants
  • 8. Introduction to symplectic Floer homology
  • 9. Symplectic Floer-Donaldson theory and quantum cohomology
  • 10. Relative Floer and quantum cohomology and the symplectic topology of Lagrangian submanifolds
  • 11. Cup-length estimate for symplectic fixed points
  • 12. Hofer's symplectic energy and Lagrangian intersections
  • 13. On the existence of symplectic submanifolds (from lectures of S. Donaldson)