Work

Posets and fractional Calabi–Yau categories

Year: 2025

Type: article

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.

Source: Mathematics Research Reports

DOI: 10.5802/mrr.21

Author: Frédéric Chapoton

Institution: Institut de Recherche Mathématique Avancée

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Agence Nationale de la Recherche

Awards: Enumerative combinative: interactions with algebra, number theory and physics, Clusters, Homological Algebra, Representations and Mirror Symmetry