On a conjecture of Kontsevich and Soibelman

Lê Quy Thuong

doi:10.2140/ant.2012.6.389

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Home > Journals > Algebra Number Theory > Volume 6 > Issue 2 > Article

2012 On a conjecture of Kontsevich and Soibelman

Lê Quy Thuong

Algebra Number Theory 6(2): 389-404 (2012). DOI: 10.2140/ant.2012.6.389

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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 $3 d$ Calabi–Yau varieties. We will show that, in some certain cases, the answer to this conjecture is positive.