Geometry and Topology Seminar: Heegaard Floer homology, Dehn surgery and the mapping cone formula.
5 March 2015 13:00 in CM221
One of the biggest challenges in low-dimensional topology is to understand Dehn surgery. Relatively recently defined Heegaard Floer homology has been used successfully in answering many questions about Dehn surgery. I will describe the basics of Heegaard Floer homology, exemplify some applications and outline why Heegaard Floer homology is so suitable when dealing with surgery. I will sketch the proof of the fact that only finitely many alternating knots can give a fixed space by surgery.