Cohomology of quiver moduli, functional equations, and integrality of Donaldson–Thomas type invariants-Reference-Cited by-同舟云学术

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

Published:2011-02-15 Issue:3 Volume:147 Page:943-964
ISSN:0010-437X
Container-title:Compositio Mathematica
language:en
Short-container-title:Compositio Math.

Author:

Reineke Markus

Abstract

AbstractA 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.

Publisher

Wiley

Subject

Algebra and Number Theory

Reference25 articles.

1. Enumerative Combinatorics

2. Cohomology of Noncommutative Hilbert Schemes

3. Gromov–Witten theory and Donaldson–Thomas theory, I

4. Etale local structure of matrix invariants and concomitants

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