48 citations · 195 across the 17 of their papers we have counts for
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Quivers with potentials associated to triangulated surfaces, Part III: tagged triangulations and cluster monomials
Giovanni Cerulli Irelli, Daniel Labardini-Fragoso
To each tagged triangulation of a surface with marked points and non-empty boundary we associate a quiver with potential, in such a way that whenever we apply a flip to a tagged tr…
Quiver Grassmannians and degenerate flag varieties
Giovanni Cerulli Irelli, Evgeny Feigin, Markus Reineke
Quiver Grassmannians are varieties parametrizing subrepresentations of a quiver representation. It is observed that certain quiver Grassmannians for type A quivers are isomorphic t…
Positivity in skew-symmetric cluster algebras of finite type
Giovanni Cerulli Irelli
We prove that the basis of cluster monomials of a skew-symmetric cluster algebra A of finite type is the atomic basis of A. This means that an element of A is positive if and only…