Geometric construction of generators of CoHA of doubled quiver

Abstract

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

8 pages, published version on Comptes Rendus

References in corpus (1)

• Cohomological Hall algebra of a symmetric quiver