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arXiv · 1611.09924

Remarks on coloured triply graded link invariants

Sabin Cautis
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Abstract

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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Sabin Cautis. 2016-11-29. Remarks on coloured triply graded link invariants. https://doi.org/10.2140/agt.2017.17.3811

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