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Let $Q$ be the doubled of a quiver. According to Efimov, Kontsevich andSoibelman, the cohomological Hall algebra (CoHA) associated to $Q$ is a freesuper-commutative algebra. In this short note, we confirm a conjecture ofHausel which gives a geometric realisation of the generators of the CoHA.

Geometric construction of generators of CoHA of doubled quiver