Hochschild cohomology of gentle algebras

Abstract

We compute the Hochschild cohomology groups of gentle algebras and show that they are determined by the derived invariant introduced by Avella-Alaminos and Geiss.

References in corpus (3)

• Combinatorial derived invariants for gentle algebras
• Mutation classes of \tilde{A}_n-quivers and derived equivalence classification of cluster tilted algebras of type \tilde{A}_n
• Hochschild cohomology of the cluster-tilted algebras of finite representation type

Cited by in corpus (3)

• Gerstenhaber algebra structure on the Hochschild cohomology of quadratic string algebras
• Hochschild cohomology of Jacobian algebras from unpunctured surfaces: A geometric computation
• Hochschild cohomology of $m$-Cluster tilted algebras of type $\tilde{\mathbb{A}}$