Khovanov homology for alternating tangles
D Bar-Natan, H Burgos-Soto - Journal of Knot Theory and Its …, 2014 - World Scientific
We describe a" concentration on the diagonal" condition on the Khovanov complex of
tangles, show that this condition is satisfied by the Khovanov complex of the single crossing …
tangles, show that this condition is satisfied by the Khovanov complex of the single crossing …
Torsion in Khovanov homology of homologically thin knots
AN Shumakovitch - Journal of Knot Theory and Its Ramifications, 2021 - World Scientific
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 …
Together with previous results by Lee [The support of the Khovanov's invariants for …
Knot invariants arising from homological operations on Khovanov homology
KK Putyra, AN Shumakovitch - Journal of Knot Theory and Its …, 2016 - World Scientific
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 …
coefficients in ℤ 2 generated by two Bockstein operations. We use the unified Khovanov …
A spanning tree model for Khovanov homology
S Wehrli - Journal of Knot Theory and Its Ramifications, 2008 - World Scientific
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 …
whose generators are in 2: 1 correspondence with the spanning trees of the" black graph" of …
A remark on Khovanov homology and two-fold branched covers
L Watson - Pacific journal of mathematics, 2010 - msp.org
Pacific Journal of Mathematics Page 1 Pacific Journal of Mathematics A REMARK ON
KHOVANOV HOMOLOGY AND TWO-FOLD BRANCHED COVERS LIAM WATSON Volume …
KHOVANOV HOMOLOGY AND TWO-FOLD BRANCHED COVERS LIAM WATSON Volume …
Knots with identical Khovanov homology
L Watson - Algebraic & Geometric Topology, 2007 - msp.org
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 …
1389–1407 1389 Knots with identical Khovanov homology LIAM WATSON We give a recipe for …
Patterns in odd Khovanov homology
AN Shumakovitch - Journal of Knot Theory and Its Ramifications, 2011 - World Scientific
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 …
Ramifications Vol. 20, No. 1 (2011) 203–222 c World Scientific Publishing Company DOI …
Planar algebras and the decategorification of bordered Khovanov homology
LP Roberts - Journal of Knot Theory and Its Ramifications, 2017 - World Scientific
We give a simple, combinatorial construction of a unital, spherical, non-degenerate*-planar
algebra over the ring ℤ [q 1/2, q− 1/2]. This planar algebra is similar in spirit to the Temperley …
algebra over the ring ℤ [q 1/2, q− 1/2]. This planar algebra is similar in spirit to the Temperley …
Five lectures on Khovanov homology
P Turner - Journal of Knot Theory and Its Ramifications, 2017 - World Scientific
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 …
Khovanov homology covering the basic definitions, important properties, a number of …
On the Khovanov and knot Floer homologies of quasi-alternating links
C Manolescu, P Ozsváth - arXiv preprint arXiv:0708.3249, 2007 - arxiv.org
Quasi-alternating links are a natural generalization of alternating links. In this paper, we
show that quasi-alternating links are" homologically thin" for both Khovanov homology and …
show that quasi-alternating links are" homologically thin" for both Khovanov homology and …