7 papers
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 where (), with $x \in \mathbb{R}^{m…
Decorated Marked Surfaces with vortices: Cluster braid group vs. braid twist group
Yu Qiu, Yu Zhou
Let be a marked surface with vortices (=punctures with extra symmetry). We study the decorated version , where the $\mathbb{Z…
From green mutation to -evolution: flows and foliations on cluster complexes
Yu Qiu, Liheng Tang
For any point in the cluster complex of a 2-Calabi-Yau category , we introduce -evolution flow on $\mathrm{Cpx}(\m…
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…
A geometric realization of Koszul duality for graded gentle algebras
Zixu Li, Yu Qiu, Yu Zhou
We show that the Koszul functor of a homologically smooth graded gentle algebra can be realized as the half rotation in a geometric model. As a byproduct, we prove an intersection-…
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…
Cluster braid groups of Coxeter-Dynkin diagrams
Zhe Han, Ping He, Yu Qiu
Cluster exchange groupoids are introduced by King-Qiu as an enhancement of cluster exchange graphs to study stability conditions and quadratic differentials. In this paper, we intr…