A refinement of Khovanov homology

Lobb, Andrew; Watson, Liam

doi:10.2140/gt.2021.25.1861

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

A refinement of Khovanov homology

Andrew Lobb and Liam Watson

Geometry & Topology 25 (2021) 1861–1917

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.

Keywords

Khovanov, mutant, strongly invertible, knot theory

Mathematical Subject Classification 2010

Primary: 57M25, 57M27, 57M60

References

Publication

Received: 16 September 2019

Revised: 20 January 2020

Accepted: 29 February 2020

Published: 12 July 2021

Proposed: Ciprian Manolescu

Seconded: Haynes R Miller, András I Stipsicz

Authors

Andrew Lobb
Department of Mathematical Sciences Durham University Durham United Kingdom
http://www.maths.dur.ac.uk/users/andrew.lobb/
Liam Watson
Mathematics Department University of British Columbia Vancouver, BC Canada
http://www.math.ubc.ca/~liam

Volume 25, issue 4 (2021)