Quantum invariants in the (oriented) knot Floer cube of resolutions

Quantum invariants in the (oriented) knot Floer cube of resolutions

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Nathan Dowlin, Princeton University
Fine Hall 314

Using filtrations on the knot Floer cube of resolutions, I will define a triply graded invariant that categorifies the HOMFLY-PT polynomial and has a spectral sequence converging to HFK. Along the way I will discuss relationships between this construction and deformations of sl(n) homology.