Note on Khovanov link cohomology

Bojan Gornik

Note on Khovanov link cohomology

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arxiv math/0402266 v2 pith:OBQP76RJ submitted 2004-02-16 math.QA

Bojan Gornik This is my paper · ORCID

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We extend Lee's result on sl(2) Khovanov cohomology of a link L to the general sl(n) case: a filtered chain complex C(L) whose spectral sequence E_2 term equals Khovanov cohomology is exhibited. We also compute C(L)'s cohomology: it depends only on linking numbers of certain sublinks of L.

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A note on general linear link homology
math.QA 2025-04 conditional novelty 3.0 of 10

Finite-rank type A link homologies are naturally viewed as gl(N) rather than sl(N) invariants because integral quantum gradings, deformation branching, and functoriality all point to the general linear Lie algebra.

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