Poisson automorphisms and quiver moduli

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.

some typos corrected, minor imprecisions clarified; final version, to appear in JIMJ; 16 pages

References in corpus (3)

• Moduli of representations of quivers
• Stability conditions and Stokes factors
• Smooth models of quiver moduli

Cited by in corpus (8)

• Quantum Wall Crossing in N=2 Gauge Theories
• Cohomology of quiver moduli, functional equations, and integrality of Donaldson-Thomas type invariants
• Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
• Motivic degree zero Donaldson-Thomas invariants
• Chamber Structure and Wallcrossing in The ADHM Theory of Curves I
• Motivic invariants of quivers via dimensional reduction
• Equivalence of Three Wall Crossing Formulae
• Quivers, curves, and the tropical vertex