Stability conditions and Stokes factors
Algebraic Geometry
2013-01-10 v5 Quantum Algebra
Representation Theory
Abstract
Let A be the category of modules over a complex, finite-dimensional algebra. We show that the space of stability conditions on A parametrises an isomonodromic family of irregular connections on P^1 with values in the Hall algebra of A. The residues of these connections are given by the holomorphic generating function for counting invariants in A constructed by D. Joyce.
Cite
@article{arxiv.0801.3974,
title = {Stability conditions and Stokes factors},
author = {Tom Bridgeland and Valerio Toledano-Laredo},
journal= {arXiv preprint arXiv:0801.3974},
year = {2013}
}
Comments
Very minor changes. Final version. To appear in Inventiones