On a conjecture of Kontsevich and Soibelman

Mathematics – Algebraic Geometry

Scientific paper

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15 pages

Scientific paper

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.

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