Heegaard Floer obstruction to knot surgery

Geometry Topology Student Seminar
Wednesday, October 23, 2019 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Hongyi Zhou – Georgia Tech
Agniva Roy

Which manifold can be obtained from surgery on a knot? Many obstructions to this have been studied. We will discuss some of them, and use Heegaard Floer homology to give an infinite family of seifert fibered integer spheres that cannot be obtained by surgery on a knot in S^3. We will also discuss a recipe to compute HF+ of surgery on a knot (Short review on Heegaard Floer homology included).