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

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Cited by in corpus (5)

• Wall-Crossing from Boltzmann Black Hole Halos
• Hall algebras in the derived category and higher rank DT invariants
• Derived category of coherent sheaves and counting invariants
• M theory and the Coulomb phase of higher rank DT invariants
• Curve counting invariants around the conifold point