17 citations · 19 across the 3 of their papers we have counts for
3 papers
math.GT2003
The Torelli geometry and its applications
Benson Farb, Nikolai V. Ivanov
For each closed orientable surface we introduce a simplical complex with some additional structure which is a version of the complex of curves of this surface adjusted to investiga…
math.GT2003★ 2 cited
Examples of centralizers in the Artin braid groups
Nikolai V. Ivanov
The goal of this paper is to construct examples of centralizers in the Artin braid groups requiring the number of generators quadratic in the number of strings. These examples disp…
math.GT2003★ 17 cited
Automorphisms of surface braid groups
Elmas Irmak, Nikolai V. Ivanov, John D. McCarthy
In this paper, we prove that each automorphism of a surface braid group is induced by a homeomorphism of the underlying surface, provided that this surface is a closed, connected,…