57 citations · 137 across the 18 of their papers we have counts for
22 papers
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…
Invariants of persistence modules defined by order-embeddings
Claire Amiot, Thomas Brüstle, Eric J. Hanson
One of the main objectives of topological data analysis is the study of discrete invariants for persistence modules, in particular when dealing with multiparameter persistence modu…
Indecomposable objects in the derived category of a skew-gentle algebra using orbifolds
Claire Amiot
Skew-gentle algebras are skew-group algebras of certain gentle algebras endowed with a Z 2-action. Using the topological description of Opper, Plamondon and Schroll in [OPS] for th…
Derived equivalences between skew-gentle algebras using orbifolds
Claire Amiot, Thomas Brüstle
Skew-gentle algebras are skew-group algebras of gentle algebras equipped with a certain -action. Building on the bijective correspondence between gentle algebras and dissecte…
A complete derived invariant for gentle algebras via winding numbers and Arf invariants
Claire Amiot, Pierre-Guy Plamondon, Sibylle Schroll
Gentle algebras are in bijection with admissible dissections of marked oriented surfaces. In this paper, we further study the properties of admissible dissections and we show that…
The cluster category of a surface with punctures via group actions
Claire Amiot, Pierre-Guy Plamondon
Given a certain triangulation of a punctured surface with boundary, we construct a new triangulated surface without punctures which covers it. This new surface is naturally equippe…