T. Kozlovskaya

activity

20112025

most citedVirtual and universal braid groups, their quotients and representations

1 citations · 1 across the 12 of their papers we have counts for

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5 papers · 1 filter

math.GT2024

Extensions of braid group representations to the monoid of singular braids

Valeriy G. Bardakov, Nafaa Chbili, Tatyana A. Kozlovskaya

Given a representation $φ : B_{n} \to G_{n}$ of the braid group $B_{n}$ , $n \geq 2$ into a group $G_{n}$ , we are considering the problem of whether it is possible to extend this repres…

math.GT2022

Singular braids, singular links and subgroups of camomile type

Valeriy G. Bardakov, Tatyana A. Kozlovskaya

In this paper we find a finite set of generators and defining relations for the singular pure braid group $S P_{n}$ , $n \geq 3$ , that is a subgroup of the singular braid group $S G_{n}$ .…

math.GT2020

On some decompositions of the 3-strand Singular Braid Group

Krishnendu Gongopadhyay, Tatyana A. Kozlovskaya, Oleg V. Mamonov

Let $S B_{n}$ be the singular braid group generated by braid generators $σ_{i}$ and singular braid generators $τ_{i}$ , $1 \leq i \leq n - 1$ . Let $S T_{n}$ denote the group that is the kernel…

math.GT2017

Brieskorn manifolds, generalised Sieradski groups, and coverings of lens spaces

Tatyana Kozlovskaya, Andrei Vesnin

The Brieskorn manifolds $B (p, q, r)$ are the $r$ -fold cyclic coverings of the 3-sphere $S^{3}$ branched over the torus knot $T (p, q)$ . The generalised Sieradski groups $S (m, p, q)$ are…

math.GT2011

Cyclic generalizations of two hyperbolic icosahedral manifolds

P. Cristofori, T. Kozlovskaya, A. Vesnin

We discuss two families of closed orientable three-dimensional manifolds which arise as cyclic generalizations of two hyperbolic icosahedral manifolds listed by Everitt. Everitt's…