15 citations · 32 across the 9 of their papers we have counts for
10 papers
On connection between associators and 6j-symbols
Elena Lanina, Artem Novokhatnii, Alexey Sleptsov +1
We propose a new formula relating the rationalized Drinfeld associators obtained from the Knizhnik--Zamolodchikov equation to the quantum -symbols of the algebra $\mathcal{U}_q…
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…
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…
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…
Construction of Lie algebra weight system kernel via Vogel algebra
Dmitry Khudoteplov, Elena Lanina, Alexey Sleptsov
We develop a method of constructing a kernel of Lie algebra weight system. A main tool we use in the analysis is Vogel's algebra and the surrounding framework. As an example of…
Closed 4-braids and the Jones unknot conjecture
Dmitriy Korzun, Elena Lanina, Alexey Sleptsov
The Jones problem is a question whether there is a non-trivial knot with the trivial Jones polynomial in one variable . The answer to this fundamental question is still unknown…