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math.RT2025
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…
math.RT2025
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…
math.RT2024
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.RT2024
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-…