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

2019/10/06 by Anya Nordskova, Nordskova, Anya, Yury Volkov +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1910.02401

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 ω-spherical objects, is faithful for any integer ω≠ 1.

Cited by

• Quiver braid group action for a 3-fold crepant resolution

Related

• Braid groups and Kleinian singularities
• Spherical DG-functors
• Groups generated by two twists along spherical sequences
• On braided near-group categories
• Spherical twists, relations and the center of autoequivalence groups of K3 surfaces