Posets and Fractional Calabi-Yau Categories
Combinatorics
2023-10-23 v2 Representation Theory
Abstract
This article deals with a relationship between derived categories of modules over some partially ordered sets and triangulated categories arising from quasi-homogeneous isolated singularities. It produces heuristics for the existence of derived equivalences between posets, using the geometric category as an auxiliary intermediate. The notion of Weight plays a central role as a simple footprint of the derived categories under consideration.
Keywords
Cite
@article{arxiv.2303.11656,
title = {Posets and Fractional Calabi-Yau Categories},
author = {Frédéric Chapoton},
journal= {arXiv preprint arXiv:2303.11656},
year = {2023}
}
Comments
18 pages