paper

Legendrian surgery

arXiv:2411.12144

Abstract

This is an overview paper that describes Eliashberg's Legendrian surgery approach to wrapped Floer cohomology and use it to derive the basic relations between various holomorphic curve theories with additional algebraic constructions. We also give a brief discussion of further results that use the surgery perspective, e.g., for holomorphic curve invariants of singular Legendrians and Lagrangians.

14 pages, 8 figures. The paper is a contribution to Celebratio Mathematica, Yakov Eliashberg (2024)