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 …

We study cluster categories arising from marked surfaces (with punctures and non-empty
boundaries). By constructing skewed-gentle algebras, we show that there is a bijection …

We interpret the support $\tau $-tilting complex of any gentle bound quiver as the non-
kissing complex of walks on its blossoming quiver. Particularly relevant examples were …

On the Combinatorics of Gentle Algebras Page 1 Canad. J. Math. Vol. 72 (), pp. – http://dx.doi.org/.
/SX ©Canadian Mathematical Society On the Combinatorics of Gentle Algebras omas Brüstle …

We study a class of generalized cluster categories arising from relative Ginzburg algebras of
triangulated marked surfaces without punctures. We show that these categories describe $1 …

The exchange graph of a 2-acyclic quiver is the graph of mutation-equivalent quivers whose
edges correspond to mutations. When the quiver admits a nondegenerate Jacobi-finite …

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

Snake graphs appear naturally in the theory of cluster algebras. For cluster algebras from
surfaces, each cluster variable is given by a formula whose terms are parametrized by the …

In this article, we realize skew-gentle algebras as skew-tiling algebras associated to
admissible partial triangulations of punctured marked surfaces. Based on this, we establish …