In this paper, we construct a geometric model for the bounded derived category of a gentle
algebra. The construction is based on the ribbon graph associated to a gentle algebra by the …

In this article, gentle algebras are realised as tiling algebras, which are associated to partial
triangulations of unpunctured surfaces with marked points on the boundary. This notion of …

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 silting …

A gentle algebra gives rise to a dissection of an oriented marked surface with boundary into
polygons and the bounded derived category of the gentle algebra has a geometric …

On Extensions for Gentle Algebras Page 1 http://dx.doi.org/. /SXX ©Canadian Mathematical
Society On Extensions for Gentle Algebras İlke Çanakçı, David Pauksztello, and Sibylle Schroll …

In this paper, we investigate properties of the bounded derived category of finite dimensional
modules over a gentle or skew-gentle algebra. We show that the Rouquier dimension of the …

Torsion pairs in the category of finitely presented modules over a noetherian ring can be
parametrised by the class of cosilting modules. In this paper, we characterise such modules …

Let Λ be a derived-discrete algebra. We show that the Krull–Gabriel dimension of the
homotopy category of projective Λ-modules, and therefore the Cantor–Bendixson rank of its …

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 notion …

The purpose of this paper is to understand lattices of certain subcategories in module
categories of representation-finite gentle algebras called tiling algebras, as introduced by …