Motivic DT-invariants for the one loop quiver with potential

Davison, B. and Meinhardt, S. (2015) Motivic DT-invariants for the one loop quiver with potential. Geometry and Topology, 19, pp. 2535-2555.

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 ˆμ-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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Davison, Nicholas
• Authors: Davison, B., and Meinhardt, S.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Geometry and Topology
• Publisher: Mathematical Sciences Publishers
• ISSN: 1465-3060
• ISSN (Online): 1364-0380
• Copyright Holders: Copyright © 2015 MSP
• First Published: First published in Geometry and Topology 19:2535-2555
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher