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arxiv: 1104.4335 · v1 · pith:TIIAVN44new · submitted 2011-04-21 · 🧮 math.AG · math.RT

Wall-crossing formulas for framed objects

classification 🧮 math.AG math.RT
keywords invariantsmotivicformulasframedmoduliobjectsspaceswall-crossing
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We prove wall-crossing formulas for the motivic invariants of the moduli spaces of framed objects in the ind-constructible abelian categories. Developed techniques are applied in the case of the motivic Donaldson-Thomas invariants of quivers with potentials. Another application is a new proof of the formula for the motivic invariants of smooth models of quiver moduli spaces.

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