Journal of the Institute of Mathematics of Jussieu

Table of Contents - 2010 - Volume 9, Issue 03  

Research Article

Poisson automorphisms and quiver moduli

Markus Reinekea1

a1 Fachbereich C, Mathematik, Bergische Universität Wuppertal, D-42097 Wuppertal, Germany (reineke@math.uni-wuppertal.de)

Abstract

A factorization formula for certain automorphisms of a Poisson algebra associated with a quiver is proved, which involves framed versions of moduli spaces of quiver representations. This factorization formula is related to wall-crossing formulae for Donaldson–Thomas type invariants of Kontsevich and Soibelman.

(Received November 29 2008)

(Accepted March 27 2009)

Keywords

  • Donaldson–Thomas invariants;
  • Hall algebras;
  • Poisson automorphisms;
  • quiver moduli

AMS 2000 Mathematics subject classification

  • Primary 16G20;
  • Secondary 14D20