Faithful actions of braid groups by twists along ADE-configurations of spherical objects

Anya Nordskova; Yury Volkov

Faithful actions of braid groups by twists along ADE-configurations of spherical objects

K-Theory and Homology 2020-11-06 v3 Algebraic Geometry Category Theory Representation Theory

Authors: Anya Nordskova , Yury Volkov

Abstract

We prove that the action of a generalized braid group on an enhanced triangulated categories, generated by spherical twist functors along an ADE-configuration of $\omega$ -spherical objects, is faithful for any integer $\omega \neq 1$ .

Keywords

generalized braid group enhanced triangulated category spherical twist functor ade-configuration omega-spherical object faithful action

Cite

@article{arxiv.1910.02401,
  title  = {Faithful actions of braid groups by twists along ADE-configurations of spherical objects},
  author = {Anya Nordskova and Yury Volkov},
  journal= {arXiv preprint arXiv:1910.02401},
  year   = {2020}
}

Comments

v3: minor improvements in the exposition, numerous typos fixed

Faithful actions of braid groups by twists along ADE-configurations of spherical objects

Abstract

Keywords

Cite

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