Topology Seminar

Speaker: Nathan Dowlin, Princeton University*

* the speaker is a graduate student visiting GW.

Abstract: Using the untwisted cube of resolutions for knot Floer homology, we define a spectral sequence from a direct sum of HOMFLY-PT homologies to knot Floer homology, where the direct sum is taken over oriented multi-cycles satisfying certain properties. We relate this spectral sequence to the conjectured spectral sequence from HOMFLY-PT homology to knot Floer homology on the level of Poincare polynomials, and use this relationship to define the sl(n) polynomial in terms of a sum of sl(n-1) polynomials.