Invariants of tangles and surfaces from a perturbation of Khovanov homology

Geometry Topology Seminar
Monday, November 14, 2016 - 14:00
1 hour (actually 50 minutes)
Skiles 006
University of Georgia
Khovanov homology is a powerful and computable homology theory for links which extends to tangles and tangle cobordisms.  It is closely, but perhaps mysteriously, related to many flavors of Floer homology.  Szabó has constructed a combinatorial spectral sequence from Khovanov homology which (conjecturally) converges to a Heegaard Floer-theoretic object.  We will discuss work in progress to extend Szabó’s construction to an invariant of tangles and surfaces in the four-sphere.