Skew-group A∞-categories as Fukaya categories of orbifolds
Abstract
We study the partially wrapped Fukaya category of a surface with boundary with an action of a group of order two. We let the notion of a skew-group A ∞ -category play the role of the partially wrapped Fukaya category of an orbifold surface. We classify indecomposable objects in terms of graded curves with signs, or taggings, at orbifold points. We compute morphisms between a class of objects, and we use this to describe tilting objects and find algebras derived-equivalent to skew-gentle algebras.
Fields of Study & Subjects
Topological and Geometric Data Analysis
Data Visualization and Analytics
Publication details
- Journal / source
- Advances in Mathematics
- Volume
- 500
- Pages
- 111064–111064
- Publication date
- 2 June 2026
- Language
- EN