A Heegaard Floer analog of algebraic torsion

Princeton/IAS Symplectic Geometry Seminar
Topic:A Heegaard Floer analog of algebraic torsion
Speaker:Cagatay Kutluhan
Affiliation:University at Buffalo, The State University of New York; von Neumann Fellow, School of Mathematics
Date:Thursday, April 21
Time/Room:10:30am - 11:30am/S-101
Video Link:https://video.ias.edu/puias/2016/0421-Kutluhan

The dichotomy between overtwisted and tight contact structures has been central to the classification of contact structures in dimension 3. Ozsvath-Szabo's contact invariant in Heegaard Floer homology proved to be an efficient tool to distinguish tight contact structures from overtwisted ones. In this talk, I will motivate, define, and discuss some properties of a refinement of the contact invariant in Heegaard Floer homology. This is joint work with Grodana Matic, Jeremy Van Horn-Morris, and Andy Wand.