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math.RT2023
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…
math.QA2023
Quasi-homomorphisms of quantum cluster algebras
Wen Chang, Min Huang, Jian-Rong Li
In this paper, we study quasi-homomorphisms of quantum cluster algebras, which are quantum analogy of quasi-homomorphisms of cluster algebras introduced by Fraser. For a quantum Gr…
math.RT2023★ 2 cited
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…