Motivic invariants of quivers via dimensional reduction

Details Motivic invariants of quivers via dimensional reduction Motivic invariants of quivers via dimensional reduction

2011-03-19

arxiv.org/abs/1103.3819v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

We provide a reduction formula for the motivic Donaldson-Thomas invariants associated to a quiver with superpotential. The method is valid provided the superpotential has a linear factor, it allows us to compute virtual motives in terms of ordinary motivic classes of simpler quiver varieties. We outline an application, giving explicit formulas for the motivic Donaldson-Thomas invariants of the orbifolds $[\CC \times \CC^2/\ZZ_n]$.

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