A SYMPLECTIC PROLEGOMENON

作者:Smith Ivan*
来源:Bulletin of the American Mathematical Society, 2015, 52(3): 415-464.
DOI:10.1090/s0273-0979-2015-01477-1

摘要

A symplectic manifold gives rise to a triangulated A8-category, the derived Fukaya category, which encodes information on Lagrangian sub-manifolds and dynamics as probed by Floer cohomology. This survey aims to give some insight into what the Fukaya category is, where it comes from, and what symplectic topologists want to do with it.

  • 出版日期2015-7