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A spectral sequence for Khovanov homology with an application to (3,q)-torus links

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arxiv math/0606369 v1 pith:2EBSVEE3 submitted 2006-06-15 math.GT math.QA

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keywords homologykhovanovlinkssequencespectraltorusapplicationapplied
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A spectral sequence converging to Khovanov homology is constructed which is applied to calculate the rational Khovanov homology of (3,q)-torus links.

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Cited by 1 Pith paper

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  1. Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots

    math.GT 2026-07 conditional novelty 5.0 of 10

    For two-bridge knots every traceless SU(2) character is binary-dihedral; for (3,n)-torus knots the characters are mostly non-dihedral, with gradings that predict when knot-instanton homology shrinks below the chain complex.

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