Nathan Dowlin

activity

20172020

most citedA Categorification of the HOMFLY-PT Polynomial with a Spectral Sequence to Knot Floer Homology

3 citations · 4 across the 2 of their papers we have counts for

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math.GT2017★ 1 cited

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…

math.GT2017★ 3 cited

A Categorification of the HOMFLY-PT Polynomial with a Spectral Sequence to Knot Floer Homology

Nathan Dowlin

Let $E_{k}^{F} (D)$ be the spectral sequence induced by the oriented cube of resolutions on knot Floer homology. We prove that $E_{2}^{F} (D)$ is a triply graded link invariant whose…