Topology Seminar (Introductory Talk): Contact structures in Heegaard Floer theory

Seminar | April 11 | 2-3 p.m. | 740 Evans Hall

 Shea Vela-Vick, LSU

 Department of Mathematics

Evidence of deep connections between contact geometry and Heegaard Floer theory has steadily mounted since the latter theory first appeared a little over a decade ago. In one direction, Heegaard Floer homology supports an invariant which is capable of distinguishing contact structures and detecting tightness. In the other, much of the algebraic structure Heegaard Floer possesses reflects appropriate geometric properties and constructions arising in contact geometry. In this talk, we’ll explore some of these correspondence and connections. In particular, we’ll show how to interpret much of the algebraic structure present in knot Floer homology in contact-geometric terms.