5 papers
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…
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…