An Introduction to Compactness Results in Symplectic Field Theory

  • Casim Abbas

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Casim Abbas
    Pages 1-99
  3. Casim Abbas
    Pages 101-207
  4. Casim Abbas
    Pages 209-245
  5. Back Matter
    Pages 247-252

About this book


This book provides an introduction to symplectic field theory, a new and important subject which is currently being developed. The starting point of this theory are compactness results for holomorphic curves established in the last decade. The author presents a systematic introduction providing a lot of background material, much of which is scattered throughout the literature. Since the content grew out of lectures given by the author, the main aim is to provide an entry point into symplectic field theory for non-specialists and for graduate students. Extensions of certain compactness results, which are believed to be true by the specialists but have not yet been published in the literature in detail, top off the scope of this monograph.


Contact homology Contact topology Symplectic field theory Symplectic manifolds Symplectic structures of moduli spaces

Authors and affiliations

  • Casim Abbas
    • 1
  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA

Bibliographic information