Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object

Coelho Guardado Simoes, Raquel (2017) Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object. Forum Mathematicum, 29 (5). pp. 1065-1081. ISSN 0933-7741

Full text not available from this repository.

Abstract

In this article, we give a definition and a classification of ‘higher’ simple-minded systems in triangulated categories generated by spherical objects with negative Calabi–Yau dimension. We also study mutations of this class of objects and that of ‘higher’ Hom-configurations and Riedtmann configurations. This gives an explicit analogue of the ‘nice’ mutation theory exhibited in cluster-tilting theory.

Item Type:
Journal Article
Journal or Publication Title:
Forum Mathematicum
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
?? CALABI–YAU TRIANGULATED CATEGORYCLUSTER-TILTING OBJECTSFUNCTORIAL FINITENESSMUTATIONRIEDTMANN CONFIGURATIONSIMPLE-MINDED SYSTEMSPHERICAL OBJECTAPPLIED MATHEMATICSMATHEMATICS(ALL) ??
ID Code:
142025
Deposited By:
Deposited On:
03 Mar 2020 09:00
Refereed?:
Yes
Published?:
Published
Last Modified:
19 Sep 2023 02:23