|Topic:||Knot surgery and Heegaard Floer homology|
|Affiliation:||Member, School of Mathematics|
|Date:||Monday, April 4|
|Time/Room:||2:00pm - 3:00pm/S-101|
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.