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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-…