Cohomology of quiver moduli, functional equations, and integrality of Donaldson-Thomas type invariants
Preprint
Abstract
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.Keywords
All Related Versions
- Version 1, 2009-03-02, ArXiv
- Published version: Compositio Mathematica, 147 (3), 943.
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