# 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} }

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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