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arxiv: 0907.3784 · v3 · pith:B5RCDQY2new · submitted 2009-07-22 · 🧮 math.AG · hep-th· math.CO

Refined open non-commutative Donaldson-Thomas invariants for small crepant resolutions

classification 🧮 math.AG hep-thmath.CO
keywords crepantdonaldson-thomasinvariantsnon-commutativerefinedresolutionssmallwall-crossing
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The aim of this paper is to study an analog of non-commutative Donaldson-Thomas theory corresponding to the refined topological vertex for small crepant resolutions of toric Calabi-Yau 3-folds. We define the invariants using dimer models and provide "wall-crossing" formulas. In particular, we get normalized generating functions which are unchanged under "wall-crossing".

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