Introduction to Symplectic Field Theory

Details Introduction to Symplectic Field Theory Introduction to Symplectic Field Theory

2000-10-06

arxiv.org/abs/math/0010059v1

Mathematics

Symplectic Geometry

102 pages, 4 figures

Scientific paper

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.

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