Caltech Geometry and Topology SeminarOctober 30th, 2009
Khovanov homology and Dehn surgery
Liam Watson, University of California at Los Angeles
Abstract: This talk will discuss a relationship between Khovanov homology and Dehn surgery by way of the Montesinos trick. As application, this may be used to give obstructions to lens space surgeries, as well as finite fillings, on a strongly invertible knot. From this point of view, quasi-alternating branch sets seem to arise quite naturally, hinting at a relationship between Khovanov homology, and strongly invertible L-space knots in the context of Heegaard Floer homology.