Jiajun Wang
Columbia University
Nice Heegaard diagrams and Floer homology
Abstract: The Heegaard Floer homology provides invariants to various structures in low dimensional topology. I will talk about the combinatorial description of the hat version Heegaard Floer theory and knot Floer homology, via nice Heegaard diagrams. The corresponding hat invariant for four-manifolds with boundary is strong enough to detect exotic smooth structures. These are joint work with Sarkar, and joint work with Lipshitz and Manolescu.