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arXiv · 2403.15190

A geometric realization of Koszul duality for graded gentle algebras

Zixu Li·Yu Qiu·Yu Zhou
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Abstract

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-dim formula involving the Koszul functor.

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Zixu Li, Yu Qiu, Yu Zhou. 2024-03-22. A geometric realization of Koszul duality for graded gentle algebras. https://arxiv.org/abs/2403.15190

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