Contact and symplectic geometry

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書誌事項

Contact and symplectic geometry

edited by C.B. Thomas

（Publications of the Newton Institute）

Cambridge University Press, 1996

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注記

Includes bibliographical references

内容説明・目次

内容説明

This volume presents some of the lectures and research during the special programme held at the Newton Institute in 1994. The book, in two parts, begins with an introductory overview. The two parts each contain a mix of substantial expository articles and research papers that outline important and topical ideas. Many of the results have not been presented before. Symplectic methods are one of the most active areas of research in mathematics currently, and this volume will attract much attention.

目次

  • Preface
  • Contributors
  • Introduction
  • Part I. Geometric Methods: 1. J-curves and the classification of rational and ruled symplectic 4-manifolds Francois Lalonde and Dusa McDuff
  • 2. Periodic Hamiltonian flows on four dimensional manifolds Yael Karshon
  • 3. 3-Dimensional contact geometry (based on lectures of Y. Eliashberg and E. Giroux) C. B. Thomas
  • 4. Topology and analysis of contact circles Hansjoerg Geiges and Jesus Gonzalo
  • 5. Properties of pseudoholomorphic curves in symplectisation IV: asymptotics with degeneracies H. Hofer, K. Wysocki and E. Zehnder
  • 6. Pseudo-holomorphic curves and Bernoulli shifts Kai Cieliebak
  • 7. On closed trajectories of a charge in a magnetic field. An application of symplectic geometry Viktor L. Ginzburg
  • Part II. Symplectic Invariants: 8. Introduction to symplectic Floer homology Matthias Schwarz
  • 9. Symplectic Floer-Donaldson theory and quantum cohomology S. Piunikhin, D. Salamon and M. Schwarz
  • 10. Relative Floer and quantum cohomology and the symplectic topology of Lagrangian submanifolds Yong-Geun Oh
  • 11. Cup-length estimate for symplectic fixed points Le Hong Van and Kaoru Ono
  • 12. Hofer's symplectic energy and Lagrangian intersections Yu V. Chekanov
  • 13. On the existence of symplectic submanifolds (from lectures of S. Donaldson) C. B. Thomas.

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