A refinement of Khovanov homology

Lobb, Andrew; Watson, Liam

Abstract

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.

Citation

Lobb, A., & Watson, L. (2021). A refinement of Khovanov homology. Geometry & Topology, 25(4), 1861-1917. https://doi.org/10.2140/gt.2021.25.1861

• Journal Article Type: Article
• Acceptance Date: Feb 29, 2020
• Online Publication Date: Jul 12, 2021
• Publication Date: 2021
• Deposit Date: Mar 10, 2020
• Journal: Geometry and Topology
• Print ISSN: 1465-3060
• Electronic ISSN: 1364-0380
• Publisher: Mathematical Sciences Publishers (MSP)
• Peer Reviewed: Peer Reviewed
• Volume: 25
• Issue: 4
• Pages: 1861-1917
• DOI: https://doi.org/10.2140/gt.2021.25.1861
• Public URL: https://durham-repository.worktribe.com/output/1275022