A refinement of Khovanov homology
arXiv:1908.00082 · 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.
39 pages, 33 figures