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Contact and Symplectic Geometry

Contact and Symplectic Geometry

$156.00 (Z)

Part of Publications of the Newton Institute

François Lalonde, Dusa McDuff, Yael Karshon, C. B. Thomas, Hansjörg Geiges, Jesús Gonzalo, H. Hofer, K. Wysocki, E. Zehnder, Kai Cieliebak, Viktor L. Ginzburg, Matthias Schwarz, S. Piunikhin, D. Salamon, Yong-Geun Oh, Lê Hông Vân, Kaoru Ono, Yu V. Chekanov
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  • Date Published: September 1996
  • availability: In stock
  • format: Hardback
  • isbn: 9780521570862

$156.00 (Z)
Hardback

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About the Authors
  • This volume presents a mix of substantial expository articles and research papers that outline important and topical ideas in the area of contact and symplectic geometry. Many of the results have not been presented before, and the lectures on Floer homology are the first available in book form. Symplectic methods are one of the most active areas of research in mathematics currently, and this volume will attract much attention among professional mathematicians.

    • Symplectic geometry is a hot topic
    • This is the first time much of this material has been available in print form
    • Top contributors in subject
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    Product details

    • Date Published: September 1996
    • format: Hardback
    • isbn: 9780521570862
    • length: 332 pages
    • dimensions: 229 x 152 x 22 mm
    • weight: 0.66kg
    • contains: 15 b/w illus.
    • availability: In stock
  • Table of Contents

    Preface
    Contributors
    Introduction
    Part I. Geometric Methods:
    1. J-curves and the classification of rational and ruled symplectic 4-manifolds François 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 Hansjörg Geiges and Jesús 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 Lê Hông Vân 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.

  • Editor

    Charles Benedict Thomas

    Contributors

    François Lalonde, Dusa McDuff, Yael Karshon, C. B. Thomas, Hansjörg Geiges, Jesús Gonzalo, H. Hofer, K. Wysocki, E. Zehnder, Kai Cieliebak, Viktor L. Ginzburg, Matthias Schwarz, S. Piunikhin, D. Salamon, Yong-Geun Oh, Lê Hông Vân, Kaoru Ono, Yu V. Chekanov

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