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arxiv: 1401.1928 · v3 · pith:P2QFO6R2new · submitted 2014-01-09 · 🧮 math.AG

Geometric construction of generators of CoHA of doubled quiver

classification 🧮 math.AG
keywords cohaalgebradoubledgeneratorsgeometricquiveraccordingassociated
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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.

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