Azzurra Ciliberti

activity

20242026

collaborators

3 papers

math.RT2026

Skew-symmetrizable cluster algebras from surfaces and symmetric quivers

Azzurra Ciliberti

We study skew-symmetrizable cluster algebras $A$ associated with unpunctured surfaces $S ~$ endowed with an orientation-preserving involution $σ$ . We give…

math.RT2025

A multiplication formula for cluster characters in gentle algebras

Azzurra Ciliberti

We prove a multiplication formula for cluster characters induced by generating extensions in a gentle algebra A, generalizing a result of Cerulli Irelli, Esposito, Franzen, Reineke…

math.RT2024

Cluster expansion formulas and perfect matchings for type B and C

Azzurra Ciliberti

Let $P_{2 n + 2}$ be the regular polygon with $2 n + 2$ vertices, and let $θ$ be the rotation of 180 $^{\circ}$ . Fomin and Zelevinsky proved that $θ$ -invariant triangulations of $\…