4 papers · 1 filter
On the -tilting finiteness and silting-discreteness of graded (skew-) gentle algebras
Wen Chang, Haibo Jin, Sibylle Schroll +1
This paper investigates finiteness conditions for gentle and skew-gentle algebras. First, we prove that a skew-gentle algebra is -tilting finite if and only if it is representat…
A complete derived invariant and silting theory for graded gentle algebras
Haibo Jin, Sibylle Schroll, Zhengfang Wang
We confirm a conjecture by Lekili and Polishchuk that the geometric invariants which they construct for homologically smooth graded (not necessarily proper) gentle algebras form a…
A localisation theorem for singularity categories of proper dg algebras
Haibo Jin, Dong Yang, Guodong Zhou
Given a recollement of three proper dg algebras over a noetherian commutative ring, e.g. three algebras which are finitely generated over the base ring, which extends one step down…
Recollements of partially wrapped Fukaya categories and surface cuts
Wen Chang, Haibo Jin, Sibylle Schroll
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 reco…