Yu Qiu

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math.RT2026

Verdier quotients of Calabi-Yau categories from quivers with potential

Anna Barbieri, Yu Qiu

We study a class of triangulated categories obtained as Verdier quotients of 3-Calabi-Yau categories combinatorially described by quivers with potential from (decorated) marked sur…

math.RT2025

Decorated Marked Surfaces with vortices: Cluster braid group vs. braid twist group

Yu Qiu, Yu Zhou

Let $S$ be a marked surface with vortices (=punctures with extra $Z_{2}$ symmetry). We study the decorated version $S_{△}$ , where the $\mathbb{Z…

math.RT2025

From green mutation to $X$ -evolution: flows and foliations on cluster complexes

Yu Qiu, Liheng Tang

For any point $X$ in the cluster complex $Cpx (C)$ of a 2-Calabi-Yau category $C$ , we introduce $X$ -evolution flow on $\mathrm{Cpx}(\m…

Verdier quotients of Calabi-Yau categories from quivers with potential

Decorated Marked Surfaces with vortices: Cluster braid group vs. braid twist group

From green mutation to X-evolution: flows and foliations on cluster complexes

From green mutation to $X$ -evolution: flows and foliations on cluster complexes