Link homology theories and ribbon concordances
S Kang - Quantum Topology, 2022 - ems.press
It was recently proved by several authors that ribbon concordances induce injective maps in
knot Floer homology, Khovanov homology, and the Heegaard Floer homology of the …
knot Floer homology, Khovanov homology, and the Heegaard Floer homology of the …
A 2-category of chronological cobordisms and odd Khovanov homology
KK Putyra - arXiv preprint arXiv:1310.1895, 2013 - arxiv.org
We create a framework for odd Khovanov homology in the spirit of Bar-Natan's construction
for the ordinary Khovanov homology. Namely, we express the cube of resolutions of a link …
for the ordinary Khovanov homology. Namely, we express the cube of resolutions of a link …
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 …
The Khovanov complex for virtual links
VO Manturov - Journal of Mathematical Sciences, 2007 - Springer
One of the most outstanding achievements of modern knot theory is Khovanov's
categorification of Jones polynomials. In the present paper, we construct the homology …
categorification of Jones polynomials. In the present paper, we construct the homology …
Homotopical Khovanov homology
VO Manturov, IM Nikonov - Journal of Knot Theory and Its …, 2015 - World Scientific
Homotopical Khovanov homology Page 1 Journal of Knot Theory and Its Ramifications Vol. 24,
No. 13 (2015) 1541003 (17 pages) c© World Scientific Publishing Company DOI …
No. 13 (2015) 1541003 (17 pages) c© World Scientific Publishing Company DOI …
ON KHOVANOV'S COBORDISM THEORY FOR KNOT HOMOLOGY
S Morrison, A Nieh - Journal of Knot Theory and its Ramifications, 2008 - World Scientific
We reconsider the link homology theory defined by Knovanov in [9] and generalized by
Mackaay and Vaz in [15]. With some slight modifications, we describe the theory as a map …
Mackaay and Vaz in [15]. With some slight modifications, we describe the theory as a map …
Calculating Bar-Natan's characteristic two Khovanov homology
PR Turner - Journal of knot theory and its ramifications, 2006 - World Scientific
We investigate Bar-Natan's characteristic two Khovanov link homology theory studying both
the filtered and bi-graded theories. The filtered theory is computed explicitly and the bi …
the filtered and bi-graded theories. The filtered theory is computed explicitly and the bi …
Sutured annular Khovanov-Rozansky homology
H Queffelec, D Rose - Transactions of the American Mathematical Society, 2018 - ams.org
We introduce an $\mathfrak {sl} _n $ homology theory for knots and links in the thickened
annulus. To do so, we first give a fresh perspective on sutured annular Khovanov homology …
annulus. To do so, we first give a fresh perspective on sutured annular Khovanov homology …
[图书][B] State cycles, quasipositive modification, and constructing H-thick knots in Khovanov homology
A Elliott - 2010 - search.proquest.com
We study Khovanov homology classes which have state cycle representatives, and examine
how they interact with Jacobsson homomorphisms and Lee's map Φ. As an application, we …
how they interact with Jacobsson homomorphisms and Lee's map Φ. As an application, we …
Knot homology from refined Chern-Simons theory
M Aganagic, S Shakirov - arXiv preprint arXiv:1105.5117, 2011 - arxiv.org
We formulate a refinement of SU (N) Chern-Simons theory on a three-manifold via the
refined topological string and the (2, 0) theory on N M5 branes. The refined Chern-Simons …
refined topological string and the (2, 0) theory on N M5 branes. The refined Chern-Simons …