Introduction to Symplectic Field Theory

@inproceedings{EliashbergIntroductionTS,
  title={Introduction to Symplectic Field Theory},
  author={Yakov Eliashberg and Alexander Givental and Helmut Hofer}
}

• Yakov Eliashberg, Alexander Givental, Helmut Hofer

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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