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.GT2018

A spectral sequence from Khovanov homology to knot Floer homology

Nathan Dowlin

A well-known conjecture of Rasmussen states that for any knot $K$ in $S^{3}$ , the rank of the reduced Khovanov homology of $K$ is greater than or equal to the rank of the reduced k…

math.GT2018

A link invariant related to Khovanov homology and knot Floer homology

Akram Alishahi, Nathan Dowlin

In this paper we introduce a chain complex $C_{1 \pm 1} (D)$ where D is a plat braid diagram for a knot K. This complex is inspired by knot Floer homology, but it the construction i…

math.GT2018

A family of $sl_{n}$ -like invariants in knot Floer homology

Nathan Dowlin

We define and study a family of link invariants $HFK_{n} (L)$ . Although these homology theories are defined using holomorphic disc counts, they share many properties with $…

A spectral sequence from Khovanov homology to knot Floer homology

A link invariant related to Khovanov homology and knot Floer homology

A family of sln​-like invariants in knot Floer homology

A family of $sl_{n}$ -like invariants in knot Floer homology