On higher rank Donaldson-Thomas invariants

Abstract

We study higher rank Donaldson-Thomas invariants of a Calabi-Yau 3-fold using Joyce-Song's wall-crossing formula. We construct quivers whose counting invariants coincide with the Donaldson-Thomas invariants. As a corollary, we prove the integrality and a certain symmetry for the higher rank invariants.

20 pages, 9 figures

References in corpus (5)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Calabi-Yau algebras
• Donaldson-Thomas invariants via microlocal geometry
• Zero dimensional Donaldson-Thomas invariants of threefolds
• Counting invariants for the ADE McKay quivers

Cited by in corpus (3)

• Wall-Crossing from Boltzmann Black Hole Halos
• M theory and the Coulomb phase of higher rank DT invariants
• Curve counting invariants around the conifold point