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.

arXiv comment29 pages, 4 figures

References in corpus (12)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Quantum Dilogarithm
• Refined, Motivic, and Quantum
• Donaldson-Thomas invariants via microlocal geometry
• Quantum Wall Crossing in N=2 Gauge Theories
• Dimer models and the special McKay correspondence
• Motivic degree zero Donaldson-Thomas invariants
• Deformed Calabi-Yau Completions
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• Counting rational points of quiver moduli
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Cited by in corpus (9)

• Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal{N}=4$ gauge theories, II
• Stability conditions and quantum dilogarithm identities for Dynkin quivers
• Classical and Quantum Dilogarithm Identities
• Motivic Donaldson-Thomas invariants and McKay correspondence
• Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex
• BPS state counting on singular varieties
• Counting using Hall Algebras III. Quivers with Potentials
• Classical and Quantum Dynamics on Orbifolds
• D-critical locus structure on the Hilbert schemes of some local toric Calabi-Yau threefolds