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arxiv: 0903.0261 · v1 · pith:CYECBGPEnew · submitted 2009-03-02 · 🧮 math.AG · math.RT

Cohomology of quiver moduli, functional equations, and integrality of Donaldson-Thomas type invariants

classification 🧮 math.AG math.RT
keywords modulicharacteristicsdonaldson-thomasequationseulerfunctionalintegralityinvariants
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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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