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hep-th2024★ 8 cited
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…
hep-th2024★ 11 cited
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…