Yu Qiu

collaborators

5 papers

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.AP2025

Quantitative unique continuation property for fourth-order Baouendi-Grushin type subelliptic operators with a potential

Yusheng Qiu, Jinggang Tan, Aliang Xia

We investigate the quantitative unique continuation property for solutions to $I^_{X}^{2} u = V u,$ where $I^_{X} = I^_{x} + ∣ x ∣^{2 I^^{2}} I^_{y}$ ( $0 < I^^{2} \leq 1$ ), with $x \in \mathbb…

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.GT2025

Moduli spaces of quadratic differentials: Abel-Jacobi map and deformation

Yu Qiu

We study the moduli space of framed quadratic differentials with prescribed singularities parameterized by a decorated marked surface with punctures (DMSp), where simple zeros, dou…

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

Quantitative unique continuation property for fourth-order Baouendi-Grushin type subelliptic operators with a potential

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

Moduli spaces of quadratic differentials: Abel-Jacobi map and deformation

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

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