4 papers · 1 filter
Tilting Completion and Self-Orthogonality Modules
Wen Chang, Quanyu Tang
We give negative answers to two tilting-completion questions for finite-dimensional algebras. We construct two finite-dimensional basic connected quasi-hereditary -algeb…
Infinitely Many Components in Auslander--Reiten Quivers of Representation-Infinite Algebras over Perfect Fields
Wen Chang, Quanyu Tang
Let be a perfect field and let be a representation-infinite finite-dimensional -algebra. We prove that the Auslander--Reiten quiver of has infinitely many connected…
Braid group actions on branched coverings and full exceptional sequences
Wen Chang, Fabian Haiden, Sibylle Schroll
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…
Geometric models for the algebraic hearts in the derived category of a gentle algebra
Wen Chang
We give a geometric model for any algebraic heart in the derived category of a gentle algebra, which is equivalent to the module category of some gentle algebra. To do this, we def…