# Introduction to Symplectic Field Theory

@article{Eliashberg2000IntroductionTS, title={Introduction to Symplectic Field Theory}, author={Yakov M. Eliashberg and Alexander Givental and Helmut Hofer}, journal={arXiv: Symplectic Geometry}, year={2000}, pages={560-673} }

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.1

## 697 Citations

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