Journal
COMPOSITIO MATHEMATICA
Volume 147, Issue 3, Pages 943-964Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1112/S0010437X1000521X
Keywords
quiver moduli; functional equations; wall crossing; Donaldson-Thomas invariants
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A system of functional equations relating the Euler characteristics of moduli spaces of stable representations of quivers and the Euler characteristics of (Hilbert-scheme-type) framed versions of quiver moduli is derived. This is applied to wall-crossing formulas for the Donaldson-Thomas type invariants of M. Kontsevich and Y. Soibelman, in particular confirming their integrality.
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