Translator Disclaimer
2021 A refinement of Khovanov homology
Andrew Lobb, Liam Watson
Geom. Topol. 25(4): 1861-1917 (2021). DOI: 10.2140/gt.2021.25.1861

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

Download Citation

Andrew Lobb. Liam Watson. "A refinement of Khovanov homology." Geom. Topol. 25 (4) 1861 - 1917, 2021. https://doi.org/10.2140/gt.2021.25.1861

Information

Received: 16 September 2019; Revised: 20 January 2020; Accepted: 29 February 2020; Published: 2021
First available in Project Euclid: 12 October 2021

Digital Object Identifier: 10.2140/gt.2021.25.1861

Subjects:
Primary: 57M25 , 57M27 , 57M60

Keywords: Khovanov , knot theory , mutant , strongly invertible

Rights: Copyright © 2021 Mathematical Sciences Publishers

JOURNAL ARTICLE
57 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.25 • No. 4 • 2021
MSP
Back to Top