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Poisson automorphisms and quiver moduli

Part of: Families, fibrations Representation theory of rings and algebras

Published online by Cambridge University Press:  11 August 2009

Markus Reineke
Markus Reineke
Affiliation:
Fachbereich C, Mathematik, Bergische Universität Wuppertal, D-42097 Wuppertal, Germany ([email protected])
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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.

Keywords

Donaldson–Thomas invariantsHall algebrasPoisson automorphismsquiver moduli

MSC classification

Secondary: 16G20: Representations of quivers and partially ordered sets 14D20: Algebraic moduli problems, moduli of vector bundles
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 9 , Issue 3 , July 2010 , pp. 653 - 667
Copyright
Copyright © Cambridge University Press 2009

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References

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