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 …

Relative Fukaya categories are hard to construct. In this paper, we provide a very explicit
construction in the case of punctured surfaces. The starting point is the gentle algebra …

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 …

In this paper we use recollements to investigate partially wrapped Fukaya categories of
surfaces with marked points. In particular, we show that cutting surfaces gives rise to …

Let S a graded marked surface. We construct a string model for Calabi-Yau-X category DX
(S△), via graded decorated marked surfaces S△. We prove the isomorphism between the …

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 paper we study the localization of a derived category of a graded gentle algebra by a
subcategory generated by a spherical band object. This object corresponds to a simple …

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 …

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 the …

We study triangulated categories which can be modeled by an oriented marked surface
$\mathcal {S} $ and a line field $\eta $ on $\mathcal {S} $. This includes bounded derived …