… of knots that have the same even and odd Khovanov homology, but … knot invariant than
the even and odd Khovanov homology combined. The case of reduced Khovanov homology …

… This suggests a relationship with SU(2) Chern–Simons theory, and we review the gauge
theory construction of Khovanov homology which may be relevant for explaining the network’s …

… We define an invariant of transverse … homology might be helpful. In particular, we establish
a bound on the self-linking number of a knot in terms of the Khovanov homology knot invariant …

… For the most simple application to the quantum knot invariants and Khovanov homology, we
require that A, φ → 0 for y → ∞. With these conditions at y = 0,∞, and suitable conditions for …

… invariants, the literature on geometric Langlands does give a reason to believe in hindsight,
and perhaps even in foresight, that it gives interesting knot invariants. An … invariants of knots. …

… of Khovanov homology for virtual knots, coupled with the theorem of Kronheimer and Mrowka
that standard Khovanov homology … are knot invariants. The grading compensations show …

… We have also added the complete knot invariant, the distributive groupoid, also known as a
… ]; among them there is Khovanov homology theory for virtual knots with arbitrary coefficients, …

… All the homology groups of this complex are knot invariants, and the Euler characteristic
of the complex coincides with the Jones polynomial (see below). We shall consider bigraded …

… We introduce an invariant of tangles in Khovanov homology by considering … Khovanov
homology groups. As application, we derive an invariant of strongly invertible knots; this invariant …

… Khovanov homology. This appears to be a promising approach to prove that Khovanov
homology is invariant … In Section 3, we show that the mutation invariance of any knot invariant can …