Motivic DT-invariants for the one loop quiver with potential

Ben Davison; Sven Meinhardt

doi:10.2140/gt.2015.19.2535

Motivic DT-invariants for the one loop quiver with potential

Ben Davison, Sven Meinhardt

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	2535-2555
Journal	Geometry & Topology
Volume	19
Issue number	5
DOIs	https://doi.org/10.2140/gt.2015.19.2535
Publication status	Published - 20 Oct 2015

Keywords / Materials (for Non-textual outputs)

math.AG
14N35, 14D23

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10.2140/gt.2015.19.2535

1108.5956v1

Cite this

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abstract = "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 \textbackslash{}hat(\textbackslash{}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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Motivic DT-invariants for the one loop quiver with potential

Abstract

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