Introduction to Symplectic Field Theory

  title={Introduction to Symplectic Field Theory},
  author={Yakov M. Eliashberg and Alexander Givental and Helmut Hofer},
  journal={arXiv: Symplectic Geometry},
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 
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