Xiaoting Zhang

collaborators

3 papers

math.RT2025

Contractibility and total semi-stability conditions of Euclidean quivers

Yu Qiu, Xiaoting Zhang

We study the bounded derived category $D$ of an Euclidean quiver, or equivalently, that of coherent sheaves on a tame weighted projective line. We give a description of t…

math.RT2025

Geometric classification of total stability spaces

Yu Qiu, Xiaoting Zhang

We construct a geometric model for the root category $D^{b} (Q) / [2]$ of any Dynkin diagram $Q$ , which is an $h_{Q}$ -gon $V_{Q}$ with cores, where $h_{Q}$ is the Coxeter n…

math.RT2025

Fusion-stable structures on triangulated categories

Yu Qiu, Xiaoting Zhang

Let $G$ be a fusion category acting on a triangulated category $D$ , in the sense that $D$ is a $G$ -module category. Our motivation example i…