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2017 Remarks on coloured triply graded link invariants
Sabin Cautis
Algebr. Geom. Topol. 17(6): 3811-3836 (2017). DOI: 10.2140/agt.2017.17.3811

Abstract

We explain how existing results (such as categorical sln 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. "Remarks on coloured triply graded link invariants." Algebr. Geom. Topol. 17 (6) 3811 - 3836, 2017. https://doi.org/10.2140/agt.2017.17.3811

Information

Received: 8 February 2017; Revised: 16 May 2017; Accepted: 12 June 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1381.57010
MathSciNet: MR3709661
Digital Object Identifier: 10.2140/agt.2017.17.3811

Subjects:
Primary: 57M27
Secondary: 16T99

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.17 • No. 6 • 2017
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