Quadratic Differentials as Stability Conditions of Graded Skew-gentle Algebras
Suiqi Lu, Yu Qiu, Dongjian Wu
公開日: 2023/10/31
Abstract
We prove that the principal component of the exchange graph of hearts of a graded skew-gentle algebra can be identified with the corresponding exchange graph of S-graphs, using the geometric models and the intersection formula in \cite{QZZ}. Using the similar argument in \cite{BS, BMQS, CHQ}, we extend this identification to an isomorphism between the spaces of stability conditions and of quadratic differentials.