Khovanov homology detects $T(2,6)$

Gage Martin

Khovanov homology detects $T(2,6)$

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arxiv 2005.02893 v1 pith:FGTFNWOT submitted 2020-05-06 math.GT

Gage Martin This is my paper · ORCID

classification math.GT

keywords homologykhovanovcoefficientsdetectsisomorphicisotopiclinkmathbb

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abstract

We show if $L$ is any link in $S^3$ whose Khovanov homology is isomorphic to the Khovanov homology of $T(2,6)$ then $L$ is isotopic to $T(2,6)$. We show this for unreduced Khovanov homology with $\mathbb{Z}$ coefficients.

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Fractional Dehn twist coefficients and rank bounds for categorified link invariants
math.GT 2026-08 conditional novelty 7.0 of 10

Fibered links whose monodromy twists many times around a boundary component have large next-to-top link Floer homology, and braid closures with large fractional Dehn twist coefficient have large annular Khovanov homology.

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