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math.GT2025
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…
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…