On a conjecture of Kontsevich and Soibelman

Abstract

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

14 pages, to appear in Algebra and Number Theory (2012)

References in corpus (2)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Motivic Igusa zeta functions

Cited by in corpus (1)

• A proof of the $\ell$-adic version of the integral identity conjecture for polynomials