Geodesic
Remarks on coloured triply graded link invariants
Cautis, Sabin1
1 Department of Mathematics, University of British Columbia, Vancouver, BC, Canada
Algebraic and Geometric Topology, Tome 17 (2017) no. 6, pp. 3811-3836

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2017.17.3811
Classification : 57M27, 16T99
Keywords: knot homology, triply graded, categorical actions, Soergel bimodules

Cautis, Sabin 1

1 Department of Mathematics, University of British Columbia, Vancouver, BC, Canada 
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Cautis, Sabin. Remarks on coloured triply graded link invariants. Algebraic and Geometric Topology, Tome 17 (2017) no. 6, pp. 3811-3836. doi: 10.2140/agt.2017.17.3811

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