Showing hep-thShow all
3 papers · 1 filter
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-th2025
Algebraic structures of Vassiliev invariants for knot families
E. Lanina, A. Sleptsov
We explore algebraic relations on Vassiliev knot invariants related with correlators in the 3-dimensional Chern--Simons theory. Vassiliev invariants form infinite-dimensional algeb…
hep-th2025
Khovanov--Rozansky matrix factorization reduction for bipartite links
Elena Lanina, Radomir Stepanov
The Khovanov-Rozansky (KR) link polynomial is a certain -deformation of Wilson loops in 3-dimensional Chern--Simons topological field theory, believed to be an observabl…