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arXiv · 0801.3974

Stability conditions and Stokes factors

Tom Bridgeland·Valerio Toledano-Laredo
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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.

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Tom Bridgeland, Valerio Toledano-Laredo. 2011-04-23. Stability conditions and Stokes factors. https://doi.org/10.1007/s00222-011-0329-4

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