Motivic Donaldson-Thomas invariants and Kac conjecture

Details Motivic Donaldson-Thomas invariants and Kac conjecture Motivic Donaldson-Thomas invariants and Kac conjecture

2011-03-10

arxiv.org/abs/1103.2100v2

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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.

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