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The 1,2-coloured HOMFLY-PT link homology

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arxiv 0809.0193 v1 pith:CU65XUZC submitted 2008-09-01 math.QA

Marco Mackaay , Marko Stosic , Pedro Vaz This is my paper · ORCID
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keywords colouredhomfly-pthomologylinkcategorifiescomponentsconjecturedefine
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In this paper we define the 1,2-coloured HOMFLY-PT link homology and prove that it is a link invariant. We conjecture that this homology categorifies the coloured HOMFLY-PT polynomial for links whose components are labelled 1 or 2.

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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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