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arXiv 2011-08-30 DOI 10.2140/gt.2015.19.2535 0 views

Motivic DT-invariants for the one loop quiver with potential

Davison, Ben · Meinhardt, Sven

Original · EN

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 (μ)-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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