Surgery obstructions and Heegaard Floer homology

Geometry Topology Seminar
Monday, May 16, 2016 - 2:00pm
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
Auckly gave two examples of irreducible integer homology spheres (one toroidal and one hyperbolic) which are not surgery on a knot in the three-sphere. Using an obstruction coming from Heegaard Floer homology, we will provide infinitely many hyperbolic examples, as well as infinitely many examples with arbitrary JSJ decomposition. This is joint work with Lidman.