#### Vol. 6, No. 2, 2012

 Recent Issues
 The Journal About the Journal Editorial Board Editors’ Interests Subscriptions Submission Guidelines Submission Form Policies for Authors Ethics Statement ISSN: 1944-7833 (e-only) ISSN: 1937-0652 (print) Author Index To Appear Other MSP Journals
On a conjecture of Kontsevich and Soibelman

### Lê Quy Thuong

Vol. 6 (2012), No. 2, 389–404
##### Abstract

We consider a conjecture of Kontsevich and Soibelman which is regarded as a foundation of their theory of motivic Donaldson–Thomas invariants for noncommutative $3d$ Calabi–Yau varieties. We will show that, in some certain cases, the answer to this conjecture is positive.

 Dedicated to Professor Hà Huy Vui on the occasion of his sixtieth birthday
##### Keywords
arc spaces, motivic Milnor fiber, motivic zeta function, Newton polyhedron
##### Mathematical Subject Classification 2010
Primary: 14B05
Secondary: 14B07, 14J17, 32S05, 32S30, 32S55
##### Milestones
Received: 1 October 2010
Revised: 6 December 2010
Accepted: 19 January 2011
Published: 24 June 2012
##### Authors
 Lê Quy Thuong École Normale Supérieure Départment de Mathématiques et Applications UMR 8553 CNRS 45 rue d’Ulm 75230 Paris cedex 05 France Institut de Mathématiques de Jussieu UMR 7586 CNRS 4 place Jussieu 75005 Paris France