A refinement of Khovanov homology

Lobb, Andrew¹ ; Watson, Liam²

¹ Department of Mathematical Sciences, Durham University, Durham, United Kingdom
² Mathematics Department, University of British Columbia, Vancouver, BC, Canada

Geometry & topology, Tome 25 (2021) no. 4, pp. 1861-1917.

Résumé

We refine Khovanov homology in the presence of an involution on the link. This refinement takes the form of a triply graded theory, arising from a pair of filtrations. We focus primarily on strongly invertible knots and show, for instance, that this refinement is able to detect mutation.

Détail

DOI : 10.2140/gt.2021.25.1861

Classification : 57M25, 57M27, 57M60
Keywords: Khovanov, mutant, strongly invertible, knot theory

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