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arxiv: 0809.0193 · v1 · submitted 2008-09-01 · 🧮 math.QA

The 1,2-coloured HOMFLY-PT link homology

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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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