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Symplectic Geometry

Symplectic Geometry

Part of London Mathematical Society Lecture Note Series

S. Angenent, E. Ciriza, S. Donaldson, S. Dostoglou, D. Salamon, Y. Eliashberg, H. Hofer, E. Lerman, R. Montgomery, R. Sjamaar, D. McDuff, L. Traynor, P. Pansu, L. Polterovich, J. Robbin, E. Zehnder
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  • Date Published: April 1994
  • availability: Available
  • format: Paperback
  • isbn: 9780521446990

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About the Authors
  • This volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990. The area of symplectic geometry has developed rapidly in the past ten years with major new discoveries that were motivated by and have provided links with many other subjects such as dynamical systems, topology, gauge theory, mathematical physics and singularity theory. The conference brought together a number of leading experts in these areas of mathematics. The contributions to this volume reflect the richness of the subject and include expository papers as well as original research. They will be an essential source for all research mathematicians in symplectic geometry.

    • Subject area has wide interest amongst mathematicians and physicists
    • Contributors are known experts in this field
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    Product details

    • Date Published: April 1994
    • format: Paperback
    • isbn: 9780521446990
    • length: 244 pages
    • dimensions: 229 x 152 x 14 mm
    • weight: 0.36kg
    • availability: Available
  • Table of Contents

    A variational interpretation of Melnikov's function and exponitionally small separaratrix splitting S. Angenent
    Global Darboux theorems and a linearization problem E. Ciriza
    Complex cobordism, Ashtekar's equations and diffeomorphisms S. Donaldson
    Instanton homology and symplectic fixed points S. Dostoglou & D. Salamon
    An energy-capacity inequality for the symplectic holonomy of hypersurfaces flat at infinity Y. Eliashberg and H. Hofer
    Examples of singular reduction E. Lerman, R. Montgomery and R. Sjamaar
    Remarks on the uniqeness of symplectic blowing up D. McDuff
    The 4-dimensional symplectic camel and related results D. McDuff and L. Traynor
    Differential forms and connections adapted to a contact structure M. Rumin and P. Pansu
    The Maslov class rigidity and non-existence of lagrangian embeddings L. Polterovich
    Phase functions and path integrals J. Robbin and D. Salamon
    Symplectic mappings which are stable at infinity E. Zehnder.

  • Editor

    Dietmar Salamon, University of Warwick

    Contributors

    S. Angenent, E. Ciriza, S. Donaldson, S. Dostoglou, D. Salamon, Y. Eliashberg, H. Hofer, E. Lerman, R. Montgomery, R. Sjamaar, D. McDuff, L. Traynor, P. Pansu, L. Polterovich, J. Robbin, E. Zehnder

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