We show that among the derived equivalent classes of homologically smooth and proper
graded gentle algebras there is only one class whose perfect derived category does not …

In this paper using a geometric model we show that there is a presilting complex over a finite
dimensional algebra, which is not a direct summand of a silting complex.

We relate full exceptional sequences in Fukaya categories of surfaces or equivalently in
derived categories of graded gentle algebras to branched coverings over the disk, building …

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 …

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 …

arXiv:2403.15190v1 [math.RT] 22 Mar 2024 Page 1 A GEOMETRIC REALIZATION OF KOSZUL
DUALITY FOR GRADED GENTLE ALGEBRAS ZIXU LI, YU QIU, AND YU ZHOU Abstract. We …

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 …

This paper concerns homological mirror symmetry for the pair-of-pants surface (A-side) and
the non-isolated surface singularity $ xyz= 0$(B-side). Burban-Drozd classified …

We study a class of derived discrete Nakayama algebras. All indecomposable compact
objects in the derived module category are determined and all recollements generated by …

We explore when the silting-discreteness is inherited. As a result, one obtains that taking
idempotent truncations and homological epimorphisms of algebras transmit the silting …