Cohomology of quiver moduli, functional equations, and integrality of Donaldson–Thomas type invariants
- 15 February 2011
- journal article
- Published by Cambridge University Press (CUP) in Compositio Mathematica
- Vol. 147 (3) , 943-964
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
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