3 papers
math.GR2026
Accessing non-abelian quotients of the Grothendieck-Teichmueller group via elementary tools
Ivan Bortnovskyi, Vasily A. Dolgushev, Borys Holikov +1
Many challenging questions about the Grothendieck-Teichmueller group, , are motivated by the fact that this group receives the injective homomorphism (called the Ihara embeddin…
math.AT2024
The Action of GT-Shadows on Child's Drawings
Vasily A. Dolgushev
GT-shadows are tantalizing objects that can be thought of as approximations of elements of the mysterious Grothendieck-Teichmueller group introduced by V. Drinfeld i…
math.GR2024
GT-shadows for the gentle version of the Grothendieck-Teichmueller group
Vasily A. Dolgushev, Jacob J. Guynee
Let be the Artin braid group on 3 strands and be the corresponding pure braid group. In this paper, we construct the groupoid of GT-shadows for a (possibly more…