English

Motivic invariants of quivers via dimensional reduction

Algebraic Geometry 2011-03-22 v1 High Energy Physics - Theory

Abstract

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×\CC2/\ZZn][\CC \times \CC^2/\ZZ_n].

Keywords

Cite

@article{arxiv.1103.3819,
  title  = {Motivic invariants of quivers via dimensional reduction},
  author = {Andrew Morrison},
  journal= {arXiv preprint arXiv:1103.3819},
  year   = {2011}
}

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16 pages