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20242026
most citedPlanar decomposition of the HOMFLY polynomial for bipartite knots and links

11 citations · 28 across the 9 of their papers we have counts for

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hep-th2026

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…

hep-th2026

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…

hep-th2026

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…

hep-th2026

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…

hep-th2025★ 3 cited

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…

hep-th2025★ 6 cited

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…