We construct an algebra of nontrivial homological operations on Khovanov homology with
coefficients in ℤ 2 generated by two Bockstein operations. We use the unified Khovanov …

These five lectures—written for a summer school in 2006—provide an introduction to
Khovanov homology covering the basic definitions, important properties, a number of …

PATTERNS IN ODD KHOVANOV HOMOLOGY Page 1 Journal of Knot Theory and Its
Ramifications Vol. 20, No. 1 (2011) 203–222 c World Scientific Publishing Company DOI …

Knots with identical Khovanov homology Page 1 Algebraic & Geometric Topology 7 (2007)
1389–1407 1389 Knots with identical Khovanov homology LIAM WATSON We give a recipe for …

We prove that every ℤ 2 H-thin link has no 2 k-torsion for k> 1 in its Khovanov homology.
Together with previous results by Lee [The support of the Khovanov's invariants for …

Khovanov homology is functorial up to sign with respect to link cobordisms. The sign
indeterminacy has been fixed by several authors, by extending the original theory both …

Pacific Journal of Mathematics Page 1 Pacific Journal of Mathematics A REMARK ON
KHOVANOV HOMOLOGY AND TWO-FOLD BRANCHED COVERS LIAM WATSON Volume …

We show that the Khovanov complex of a connected link diagram D retracts to a subcomplex
whose generators are in 2: 1 correspondence with the spanning trees of the" black graph" of …

We define a homology theory of virtual links built out of the direct sum of the standard
Khovanov complex with itself, motivating the name doubled Khovanov homology. We …

We construct an equivariant version of annular Khovanov homology via the Frobenius
algebra associated with U (1)× U (1)-equivariant cohomology of ℂ ℙ 1. Motivated by the …