Wall-crossing of the motivic Donaldson-Thomas invariants

Abstract

We study motivic Donaldson-Thomas invariants in the sense of Behrend-Bryan-Szendroi. A wall-crossing formula under a mutation is proved for a certain class of quivers with potentials.

29 pages, 4 figures

References in corpus (5)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Donaldson-Thomas invariants via microlocal geometry
• Deformed Calabi-Yau Completions
• Counting rational points of quiver moduli
• On the motivic Donaldson-Thomas invariants of quivers with potentials

Cited by in corpus (3)

• Motivic Donaldson-Thomas invariants and McKay correspondence
• Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex
• D-critical locus structure on the Hilbert schemes of some local toric Calabi-Yau threefolds