Introduction to Symplectic Field Theory
辛几何
2007-05-23 v1 数学物理
代数几何
math.MP
摘要
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.
引用
@article{arxiv.math/0010059,
title = {Introduction to Symplectic Field Theory},
author = {Yakov Eliashberg and Alexander Givental and Helmut Hofer},
journal= {arXiv preprint arXiv:math/0010059},
year = {2007}
}
备注
102 pages, 4 figures