11 citations · 28 across the 9 of their papers we have counts for
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…
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…
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…
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…
Bipartite expansion beyond biparticity
A. Anokhina, E. Lanina, A. Morozov
The recently suggested bipartite analysis extends the Kauffman planar decomposition to arbitrary , i.e. extends it from the Jones polynomial to the HOMFLY polynomial. This provi…
Planar decomposition of bipartite HOMFLY polynomials in symmetric representations
A. Anokhina, E. Lanina, A. Morozov
We generalize the recently discovered planar decomposition (Kauffman bracket) for the HOMFLY polynomials of bipartite knot/link diagrams to (anti)symmetrically colored HOMFLY polyn…
Planar decomposition of the HOMFLY polynomial for bipartite knots and links
A. Anokhina, E. Lanina, A. Morozov
The theory of the Kauffman bracket, which describes the Jones polynomial as a sum over closed circles formed by the planar resolution of vertices in a knot diagram, can be straight…