Wall-crossing formulas for framed objects

Details Wall-crossing formulas for framed objects Wall-crossing formulas for framed objects

2011-04-21

arxiv.org/abs/1104.4335v1

Mathematics

Algebraic Geometry

22 pages

Scientific paper

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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