Poisson automorphisms and quiver moduli

2008/04/20 by Reineke, Markus · 1 citation
#14D20 #16G20 #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0804.3214

Abstract

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

Cited by

• Oriented matroids from type \mathbbA cluster categories

Related

• Cohomology of quiver moduli, functional equations, and integrality of Donaldson–Thomas type invariants
• Quivers and Poisson structures
• Wall-crossing formula for framed quiver moduli
• Moduli of representations of quivers
• Compatible Poisson structures on multiplicative quiver varieties