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Knots and Representation Theory
May 24, 2021 18:30, Moscow
 


On biquandles for the groups $G^k_n$ and surface singular braid monoid

I. M. Nikonov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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Abstract: The groups $G^k_n$ were defined by V. O. Manturov in order to describe dynamical systems in configuration systems. In the talk we will consider two applications of this theory: we define a biquandle structure on the groups $G^k_n$, and construct a homomorphism from the surface singular braid monoid to the group $G^2_n$.

Language: English

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