Knot surgery and Heegaard Floer homology

Knot surgery and Heegaard Floer homology - Jennifer Hom

Jennifer Hom
Member, School of Mathematics
April 4, 2016
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.