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3 results for “Kauffman-Khovanov”
On possible existence of HOMFLY polynomials for virtual knotshep-th

Virtual knots are associated with knot diagrams, which are not obligatory planar. The recently suggested generalization from N=2 to arbitrary N of the Kauffman-Khovanov calculus of cycles in resolved diagrams can be straightforwardly applied to non-planar case. In simple examples we demonstrate that this construction p…

2014-07-23abs ↗pdf ↗
Khovanov--Rozansky matrix factorization reduction for bipartite linkshep-th

Simplified KR polynomial for bipartite links reduces to tensor products of vector spaces.

problem Complexity reduction of Khovanov-Rozansky polynomial for bipartite links.
method Local reduction of matrix factorizations to planar cycles and simplification to vector spaces.
result KR polynomial for bipartite links simplifies to tensor products of vector spaces.
Khovanov-Rozansky polynomialbipartite linksmatrix factorizationvector spacestopological field theory
2025-11-11abs ↗pdf ↗