Seminar| Institute of Mathematical Sciences
Time: Wednesday, December 11th, 2024,13:30-14:30
Location: IMS, RS408
Speaker:Youlin Li, Shanghai Jiao Tong University
Abstract:Contact structures on 3-manifolds are given by a plane 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 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.