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

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

2009-03-02

arxiv.org/abs/0903.0261v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

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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