Stability conditions and Stokes factors

Details Stability conditions and Stokes factors Stability conditions and Stokes factors

2008-01-25

arxiv.org/abs/0801.3974v5

Mathematics

Algebraic Geometry

Very minor changes. Final version. To appear in Inventiones

Scientific paper

10.1007/s00222-011-0329-4

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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