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arxiv: 1002.3608 · v1 · submitted 2010-02-18 · 🧮 math.AG

On higher rank Donaldson-Thomas invariants

classification 🧮 math.AG
keywords invariantsdonaldson-thomashigherrankcalabi-yaucertaincoincideconstruct
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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.

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