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Remarks on coloured triply graded link invariants

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arxiv 1611.09924 v2 pith:ZALH6NIB submitted 2016-11-29 math.QA math.RT

Sabin Cautis This is my paper · ORCID
classification math.QAmath.RT
keywords actionscolouredgradedhomflyinfinitelinktriplytwists
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We explain how existing results (such as categorical sl(n) actions, associated braid group actions and infinite twists) can be used to define a triply graded link invariant which categorifies the HOMFLY polynomial of links coloured by arbitrary partitions. The construction uses a categorified HOMFLY clasp defined via cabling and infinite twists. We briefly discuss differentials and speculate on related structures.

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Cited by 1 Pith paper

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  1. HOMFLYPT homology for links in handlebodies via type A Soergel bimodules

    math.QA 2019-08 accept novelty 7.0 of 10

    Links in genus-g handlebodies are assigned a triply-graded homology built from singular Soergel bimodules and Hochschild cohomology, generalizing colored HOMFLYPT homology.

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