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 Gromov-Witten 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 e-prints
- Pub Date:
- October 2000
- DOI:
- 10.48550/arXiv.math/0010059
- arXiv:
- arXiv:math/0010059
- Bibcode:
- 2000math.....10059E
- Keywords:
-
- Mathematics - Symplectic Geometry;
- Mathematical Physics;
- Mathematics - Algebraic Geometry;
- Mathematics - Mathematical Physics;
- 53D40;
- 53D45
- E-Print:
- 102 pages, 4 figures