#### Volume 19, issue 5 (2015)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060

### Ben Davison and Sven Meinhardt

Geometry & Topology 19 (2015) 2535–2555
##### Abstract

We compute the motivic Donaldson–Thomas invariants of the one-loop quiver, with an arbitrary potential. This is the first computation of motivic Donaldson–Thomas invariants to use in an essential way the full machinery of $\stackrel{̂}{\mu }$–equivariant motives, for which we prove a dimensional reduction result similar to that of Behrend, Bryan and Szendrői in their study of degree-zero motivic Donaldson–Thomas invariants. Our result differs from theirs in that it involves nontrivial monodromy.

Primary: 14N35
Secondary: 14D23
##### Publication
Revised: 26 August 2014
Accepted: 30 September 2014
Published: 20 October 2015
Proposed: Richard Thomas
Seconded: Jim Bryan, Lothar Göttsche
##### Authors
 Ben Davison Section de mathématiques École Polytechnique Fédérale de Lausanne Station 8 Bâtiment MA CH-1015 Lausanne Switzerland Sven Meinhardt Fachbereich C —Mathematik und Naturwissenschaften Bergische Universität Wuppertal Gaussstrasse 20 D-42119 Wuppertal Germany