Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

UNIVERSAL KHOVANOV–ROZANSKY sl(2) COHOMOLOGY

View through CrossRef
We generalize the Khovanov–Rozansky cohomology theory for n = 2 by using a homogeneous potential that depends on two parameters, to obtain the universal Khovanov-Rozansky sl(2)-link cohomology. This theory is equivalent to the universal sl(2)-link cohomology using foams, after tensoring both theories with appropriate rings.
Title: UNIVERSAL KHOVANOV–ROZANSKY sl(2) COHOMOLOGY
Description:
We generalize the Khovanov–Rozansky cohomology theory for n = 2 by using a homogeneous potential that depends on two parameters, to obtain the universal Khovanov-Rozansky sl(2)-link cohomology.
This theory is equivalent to the universal sl(2)-link cohomology using foams, after tensoring both theories with appropriate rings.

Related Results

A note on Khovanov–Rozansky sl2-homology and ordinary Khovanov homology
A note on Khovanov–Rozansky sl2-homology and ordinary Khovanov homology
In this paper we present an explicit isomorphism between Khovanov–Rozansky sl2-homology and ordinary Khovanov homology. This result was originally claimed in Khovanov and Rozansky'...
Khovanov Laplacian and Khovanov Dirac for knots and links
Khovanov Laplacian and Khovanov Dirac for knots and links
Abstract Khovanov homology has been the subject of much study in knot theory and low dimensional topology since 2000. This work introduces a Khovanov Laplacian and a...
The Khovanov homology of knots
The Khovanov homology of knots
<p>The Khovanov homology is a knot invariant which first appeared in Khovanov's original paper of 1999, titled ``a categorification of the Jones polynomial.'' This thesis aim...
Shifted generic cohomology
Shifted generic cohomology
AbstractThe idea that the cohomology of finite groups might be fruitfully approached via the cohomology of ambient semisimple algebraic groups was first shown to be viable in the p...
Evaluations of annular Khovanov–Rozansky homology
Evaluations of annular Khovanov–Rozansky homology
AbstractWe describe the universal target of annular Khovanov–Rozansky link homology functors as the homotopy category of a free symmetric monoidal linear category generated by one ...
Equivariant Cohomology of S2 Under Rotation
Equivariant Cohomology of S2 Under Rotation
This chapter shows how to use the spectral sequence of a fiber bundle to compute equivariant cohomology. As an example, it computes the equivariant cohomology of S2 under the actio...
Coarse Sheaf Cohomology
Coarse Sheaf Cohomology
A certain Grothendieck topology assigned to a metric space gives rise to a sheaf cohomology theory which sees the coarse structure of the space. Already constant coefficients produ...
General Properties of Equivariant Cohomology
General Properties of Equivariant Cohomology
This chapter assesses the general properties of equivariant cohomology. Both the homotopy quotient and equivariant cohomology are functorial constructions. Equivariant cohomology i...

Back to Top