Spherical objects and stability conditions on 2-Calabi--Yau quiver categories
Representation Theory
2021-08-23 v1 Combinatorics
Category Theory
Abstract
Consider a 2-Calabi--Yau triangulated category with a Bridgeland stability condition. We devise an effective procedure to reduce the phase spread of an object by applying spherical twists. Using this, we give new proofs of the following theorems for 2-Calabi--Yau categories associated to ADE quivers: (1) all spherical objects lie in a single orbit of the braid group, and (2) the space of Bridgeland stability conditions is connected.
Keywords
Cite
@article{arxiv.2108.09155,
title = {Spherical objects and stability conditions on 2-Calabi--Yau quiver categories},
author = {Asilata Bapat and Anand Deopurkar and Anthony M. Licata},
journal= {arXiv preprint arXiv:2108.09155},
year = {2021}
}
Comments
13 pages, 1 figure. Comments welcome