3 papers
math.RT2026
Skew-group -categories as Fukaya categories of orbifolds
Claire Amiot, Pierre-Guy Plamondon
We study the partially wrapped Fukaya category of a surface with boundary with an action of a group of order two. Inspired by skew-group algebras and categories, we define the noti…
math.CO2026
On the growth of friezes via theta functions
Pierre-Guy Plamondon, Salvatore Stella
We prove that the infinite friezes arising from the tubes of a given cluster algebra of acyclic affine type all have the same growth coefficients. Our proof uses identities satisfi…
math.RT2025
A geometric model for the derived category of gentle algebras
Sebastian Opper, Pierre-Guy Plamondon, Sibylle Schroll
In this paper we construct a geometric model for the triangulated category generated by the simple modules of any graded gentle algebra. This leads to a geometric model of their pe…