Abstract

Contact structures on 3-manifolds are given by a hyperplane distribution in the tangent bundle satisfying a condition called "complete non-integrability". Contact structures fall into one of two classes: tight or overtwisted. Ozsvath and Szabo introduced invariants of contact structures using Heegaard Floer homology. In this talk, I will survey some recent results about the tightness and contact invariants of contact 3-manifolds via contact surgery. The talk is based on joint work with Fan Ding and Zhongtao Wu.

Speaker

Research Interests:

Low dimensional topology, contact geometry

Personal Website:

https://math.sjtu.edu.cn/Default/teachershow/tags/MDAwMDAwMDAwMLKIdt4