Introduction to Symplectic Field Theory
Abstract
We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to GromovWitten invariants of symplectic manifolds and their Lagrangian submanifolds in the spirit of topological field theory, and at the same time serves as a rich source of new invariants of contact manifolds and their Legendrian submanifolds. Moreover, we hope that the applications of SFT go far beyond this framework.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 October 2000
 arXiv:
 arXiv:math/0010059
 Bibcode:
 2000math.....10059E
 Keywords:

 Mathematics  Symplectic Geometry;
 Mathematical Physics;
 Mathematics  Algebraic Geometry;
 Mathematics  Mathematical Physics;
 53D40;
 53D45
 EPrint:
 102 pages, 4 figures