Knot surgery and Heegaard Floer homology

Members' Seminar
Topic:Knot surgery and Heegaard Floer homology
Speaker:Jennifer Hom
Affiliation:Member, School of Mathematics
Date:Monday, April 4
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/membsem/2016/0404-Hom

One way to construct new 3-manifolds is by surgery on a knot in the 3-sphere; that is, we remove a neighborhood of a knot, and reglue it in a different way. What 3-manifolds can be obtained in this manner? We provide obstructions using the Heegaard Floer homology package of Ozsvath and Szabo. This is joint work with Cagri Karakurt and Tye Lidman.