Combinatorial tangle Floer homology

Geometry Topology Seminar
Monday, January 26, 2015 - 2:00pm
1 hour (actually 50 minutes)
Skiles 006
Rice University
In joint work with Vera Vertesi, we extend the functoriality in Heegaard Floer homology by defining a Heegaard Floer invariant for tangles which satisfies a nice gluing formula. We will discuss theconstruction of this combinatorial invariant for tangles in S^3, D^3, and I x S^2. The special case of S^3 gives back a stabilized version of knot Floer homology.