17 citations · 67 across the 17 of their papers we have counts for
20 papers
Compactifying Exchange Graphs I: Annuli and Tubes
Karin Baur, Grégoire Dupont
We introduce the notion of an \emph{asymptotic triangulation} of the annulus. We show that asymptotic triangulations can be mutated as the usual triangulations and describe their e…
On Maximal Green Sequences
Thomas Brüstle, Grégoire Dupont, Matthieu Pérotin
Maximal green sequences are particular sequences of quiver mutations appearing in the context of quantum dilogarithm identities and supersymmetric gauge theory. Interpreting maxima…
Modules over cluster-tilted algebras determined by their dimension vectors
Ibrahim Assem, Grégoire Dupont
We prove that indecomposable transjective modules over cluster-tilted algebras are uniquely determined by their dimension vectors. Similarly, we prove that for cluster-concealed al…
Quantum frieze patterns in quantum cluster algebras of type A
Jean-Philippe Burelle, Grégoire Dupont
We introduce a quantisation of the Coxeter-Conway frieze patterns and prove that they realise quantum cluster variables in quantum cluster algebras associated with linearly oriente…
On a category of cluster algebras
Ibrahim Assem, Grégoire Dupont, Ralf Schiffler
We introduce a category of cluster algebras with fixed initial seeds. This category has countable coproducts, which can be constructed combinatorially, but no products. We characte…
Atomic bases in cluster algebras of types A and
Grégoire Dupont, Hugh Thomas
We give explicit atomic bases of arbitrary coefficient-free cluster algebras of types and .