Gauge Theory and Symplectic Geometry

  • Jacques Hurtubise
  • François Lalonde
  • Gert Sabidussi

Part of the NATO ASI Series book series (ASIC, volume 488)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Nigel Hitchin
    Pages 69-112
  3. Jacques C. Hurtubise
    Pages 113-146
  4. François Lalonde
    Pages 147-174
  5. Back Matter
    Pages 211-212

About this book

Introduction

Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of Seiberg-Witten theory, which has revolutionised the subjects since its introduction in late 1994.
Topics covered include: introductions to Seiberg-Witten theory, to applications of the S-W theory to four-dimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudo-holomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, Morse-Floer theory; pseudo-convexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory.

Keywords

Mathematica cohomology homology manifold symplectic geometry

Editors and affiliations

  • Jacques Hurtubise
    • 1
  • François Lalonde
    • 2
  • Gert Sabidussi
    • 3
  1. 1.Department of Mathematics and StatisticsMcGill UniversityMontréalCanada
  2. 2.Département de mathématiques et d’informatiqueUniversité de Québec à MontréalMontréalCanada
  3. 3.Département de mathématiques et statistiqueUniversité de MontréalMontréalCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-1667-3
  • Copyright Information Springer Science+Business Media B.V. 1997
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4830-1
  • Online ISBN 978-94-017-1667-3
  • Series Print ISSN 1389-2185
  • About this book
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