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Wall-crossing formulas for framed objects

Published 21 Apr 2011 in math.AG and math.RT | (1104.4335v1)

Abstract: 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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