Motivic DT-invariants for the one loop quiver with potential

Details Motivic DT-invariants for the one loop quiver with potential Motivic DT-invariants for the one loop quiver with potential

2011-08-30

arxiv.org/abs/1108.5956v1

Mathematics

Algebraic Geometry

30 pages

Scientific paper

In this paper we compute the motivic Donaldson--Thomas invariants for the quiver with one loop and any potential. As the presence of arbitrary potentials requires the full machinery of \hat(\mu)-equivariant motives, we give a detailed account of them. In particular, we will prove two results for the motivic vanishing cycle which might be of importance not only in Donaldson--Thomas theory.

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