Corpus ID: 117774063

The critical CoHA of a self dual quiver with potential

@article{Davison2013TheCC,
  title={The critical CoHA of a self dual quiver with potential},
  author={B. Davison},
  journal={arXiv: Algebraic Geometry},
  year={2013}
}
  • B. Davison
  • Published 2013
  • Mathematics, Physics
  • arXiv: Algebraic Geometry
  • In this paper we provide an explanation for the many beautiful infinite product formulas for generating functions of refined DT invariants for symmetric quivers with potential: they are characteristic functions of free supercommutative algebras. We prove this by first showing that, for a quiver with potential that satisfies a notion of self duality, introduced below, the critical cohomological Hall algebra is supercommutative, and admits a kind of localised coproduct, which is enough to… CONTINUE READING

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