Cube of resolutions complexes for Khovanov-Rozansky homology and knot Floer homology

Friday, February 5, 2016 -
2:15pm to 3:00pm
This is a joint Geometry/Topology day.   I will compare the oriented cube of resolutions constructions for Khovanov-Rozansky homology and knot Floer homology. Manolescu conjectured that for singular diagrams (or trivalent graphs) the HOMFLY-PT homology and knot Floer homology are isomorphic - I will show that this conjecture is equivalent to a certain spectral sequence collapsing. This will also lead to a recursion formula for the HOMFLY-PT homology of singular diagrams that categorifies Jaeger's composition product formula. 
Speaker: 
Nathan Dowlin
Princeton University
Event Location: 
Fine Hall Common Room