On a conjecture of Kontsevich and Soibelman
Le Quy Thuong
TL;DR
This paper investigates a conjecture by Kontsevich and Soibelman related to motivic Donaldson-Thomas invariants in non-commutative 3d Calabi-Yau varieties, providing positive results in specific cases.
Contribution
It offers partial validation of the conjecture in certain cases, advancing the understanding of motivic Donaldson-Thomas invariants.
Findings
Conjecture holds in some specific cases
Supports the foundation of motivic Donaldson-Thomas theory
Provides new insights into non-commutative Calabi-Yau varieties
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.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Advanced Topology and Set Theory · Mathematical Dynamics and Fractals