Introduction to Symplectic Field Theory

@inproceedings{Eliashberg2000IntroductionTS,
  title={Introduction to Symplectic Field Theory},
  author={Yakov M. Eliashberg and Alexander Givental and Helmut O. Hofer},
  year={2000}
}
  • Yakov M. Eliashberg, Alexander Givental, Helmut O. Hofer
  • Published 2000
  • Mathematics, Physics
  • 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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