Does Khovanov homology detect the unknot? Page 1 Does Khovanov homology detect the
unknot? Matthew Hedden, Liam Watson American Journal of Mathematics, Volume 132 …

In this paper, we study the Khovanov homology of an alternating virtual link L and show that
it is supported on g+ 2 diagonal lines, where g equals the virtual genus of L. Specifically, we …

By adding or removing appropriate structures to Gauss diagram, one can create useful
objects related to virtual links. In this paper few objects of this kind are studied: twisted virtual …

Ribbon distance and Khovanov homology Page 1 msp Algebraic & Geometric Topology 20 (2020)
1041–1058 Ribbon distance and Khovanov homology SUCHARIT SARKAR We study a …

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 …

This article is an introduction to relationships between knot theory and theoretical physics.
We give an exposition of the theory of polynomial invariants of knots and links, the Witten …

We define a category v 𝒯 of tangles diagrams drawn on surfaces with boundaries. On the
one hand, we show that there is a natural functor from the category of virtual tangles to v 𝒯 …

We formulate a conjectural formula for Khovanov's invariants of alternating knots in terms of
the Jones polynomial and the signature of the knot. 1. A conjecture. This note was initially …

Using derived categories of equivariant coherent sheaves we construct a knot homology
theory which categorifies the quantum sl_m knot polynomial. Our knot homology naturally …

We show that any 3D topological quantum field theory satisfying physically reasonable
factorizability conditions has associated to it in a natural way a Hopf algebra object in a …