The decategorification of bordered Khovanov homology

Geometry Topology Seminar
Monday, September 16, 2013 - 2:00pm
1 hour (actually 50 minutes)
Skiles 006
University of Alabama
Khovanov homology is an invariant of a link in S^3 which refines the Jones polynomial of the link. Recently I defined a version of Khovanov homology for tangles with interesting locality and gluing properties, currently called bordered Khovanov homology, which follows the algebraic pattern of bordered Floer homology. After reviewing the ideas behind bordered Khovanov homology, I will describe what appears to be the Jones polynomial-like structure which bordered Khovanov homology refines.