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Motivic Donaldson–Thomas invariants and the Kac conjecture

Published online by Cambridge University Press:  28 February 2013

Sergey Mozgovoy*
Affiliation:
Mathematical Institute, University of Oxford, 24–29 St Giles’, Oxford, OX1 3LB, UK email [email protected]
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Abstract

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We derive some combinatorial consequences from the positivity of Donaldson–Thomas invariants for symmetric quivers conjectured by Kontsevich and Soibelman and proved recently by Efimov. These results are used to prove the Kac conjecture for quivers having at least one loop at every vertex.

Type
Research Article
Copyright
© The Author(s) 2013 

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