3 citations · 4 across the 2 of their papers we have counts for
4 papers
Relating tangle invariants for Khovanov homology and knot Floer homology
Akram Alishahi, Nathan Dowlin
Ozsvath and Szabo recently constructed an algebraically defined invariant of tangles which takes the form of a DA bimodule. This invariant is expected to compute knot Floer homolog…
A spectral sequence from Khovanov homology to knot Floer homology
Nathan Dowlin
A well-known conjecture of Rasmussen states that for any knot in , the rank of the reduced Khovanov homology of is greater than or equal to the rank of the reduced k…
The Lee Spectral Sequence, Unknotting Number, and the Knight Move Conjecture
Akram Alishahi, Nathan Dowlin
We show that the page at which the Lee spectral sequence collapses gives a bound on the unknotting number, u(K). In particular, for knots with u(K)<3, we show that the Lee spectral…
A Categorification of the HOMFLY-PT Polynomial with a Spectral Sequence to Knot Floer Homology
Nathan Dowlin
Let be the spectral sequence induced by the oriented cube of resolutions on knot Floer homology. We prove that is a triply graded link invariant whose…