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Paper detail

Stability conditions and Stokes factors

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.

preprint2011arXivOpen access
Tom BridgelandValerio Toledano-Laredo
math.RTmath.QAmath.AG
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Tom BridgelandValerio Toledano-Laredo

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