Showing math.RTShow all
4 papers · 1 filter
math.RT2026
AIR tilting subcategories of extended hearts
Jiaqun Wei, Yu Zhou
We introduce the notion of AIR tilting subcategories of extended hearts of -structures on a triangulated category associated with silting subcategories. This notion generalizes…
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.RT2024
Tilting theory for extended module categories
Yu Zhou
In extended hearts of bounded -structures on a triangulated category, we provide a Happel-Reiten-Smalo tilting theorem and a characterization for -torsion pairs. Applying the…
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-…