A geometric realization of Koszul duality for graded gentle algebras
Representation Theory
2024-03-25 v1 Category Theory
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2403.15190,
title = {A geometric realization of Koszul duality for graded gentle algebras},
author = {Zixu Li and Yu Qiu and Yu Zhou},
journal= {arXiv preprint arXiv:2403.15190},
year = {2024}
}
Comments
29 pages, 17 figures. Any comments are welcome