9 papers
Khovanov complexes for bipartite links
A. Anokhina, E. Lanina, A. Morozov
Recently, for a limited class for bipartite links, the complicated Khovanov-Rozansky matrix factorization technique was reduced to an analogue of elementary Kauffman-Khovanov cycle…
Ising anyons in the Chern--Simons theory
Artem Belov, Andrey Morozov
The present work is motivated by the statement that the Ising minimal model is equivalent, at the level of observables, to the Chern--Simons theory. At…
Racah matrices for the symmetric representation of the SO(5) group
Andrey Morozov
Approaches to calculate SU(N) colored knot invariants (HOMFLY-PT polynomials) are well and widely developed. However, SO(N) case is mostly forgotten. With this paper we want to sta…
Reductions in Khovanov-Rozansky operator formalism
D. Galakhov, E. Lanina, A. Morozov
Sophisticated Khovanov-Rozansky (KhR) description of knot invariants in the fundamental representation can be reformulated in terms of bicomplex with a simple physical meaning. Nam…
Analogue of Goeritz matrices for computation of bipartite HOMFLY-PT polynomials
A. Anokhina, D. Korzun, E. Lanina +1
The Goeritz matrix is an alternative to the Kauffman bracket and, in addition, makes it possible to calculate the Jones polynomial faster with some minimal choice of a checkerboard…
Khovanov-Rozansky cycle calculus for bipartite links
A. Anokhina, E. Lanina, A. Morozov
Bipartite calculus is a direct generalization of Kauffman planar expansion from to arbitrary , applicable to the restricted class of knots which are entirely made of antip…