In Part 1, we classify (indecomposable) objects in the perfect derived category $\mathrm
{per}\Lambda $ of a graded skew-gentle algebra $\Lambda $, generalizing …

Skew-gentle algebras are a generalisation of the well-known class of gentle algebras with
which they share many common properties. In this work, using non-commutative Gröbner …

We derive a geometric model for the module category mod k Q of a Dynkin quiver Q via the
heart of a total stability condition on the bounded derived category of mod k Q. As an …

Let A be a finite-dimensional gentle algebra over an algebraically closed field. We
investigate the combinatorial properties of support τ-tilting graph of A. In particular, it is …

We give a geometric model for the category of coherent sheaves over the weighted
projective line of type $(p, q) $ in terms of an annulus with marked points on its boundary …

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 …

Full article: There are no strictly shod algebras in hereditary gentle algebras Skip to Main
Content Taylor and Francis Online homepage Browse Search Publish Login | Register Log in …

Let $\mathcal {D} $ be a Hom-finite, Krull-Schmidt, 2-Calabi-Yau triangulated category with a
rigid object $ R $. Let $\Lambda=\operatorname {End} _ {\mathcal {D}} R $ be the …

We give a complete description of partially wrapped Fukaya categories of graded orbifold
surfaces with stops. We show that a construction via global sections of a natural cosheaf of A …

In this paper, we give a geometric construction of string algebras and of their module
categories. Our approach uses dissections of punctured Riemann surfaces with extra data at …