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arXiv · 1512.09321

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

Raquel Coelho Simoes
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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.

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BibTeXRIS

Raquel Coelho Simoes. 2015-12-31. Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object. https://arxiv.org/abs/1512.09321

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