English

Motivic Donaldson-Thomas invariants and Kac conjecture

Algebraic Geometry 2019-02-20 v2 Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1103.2100,
  title  = {Motivic Donaldson-Thomas invariants and Kac conjecture},
  author = {Sergey Mozgovoy},
  journal= {arXiv preprint arXiv:1103.2100},
  year   = {2019}
}

Comments

10 pages