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arXiv · 0706.2648

Harder-Narasimhan categories

Huayi Chen
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Abstract

We propose a generalization of Quillen's exact category -- arithmetic exact category and we discuss conditions on such categories under which one can establish the notion of Harder-Narasimhan filtrations and Harder-Narsimhan polygons. Furthermore, we show the functoriality of Harder-Narasimhan filtrations (indexed by $\mathbb R$), which can not be stated in the classical setting of Harder and Narasimhan's formalism.

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Huayi Chen. 2007-06-30. Harder-Narasimhan categories. https://arxiv.org/abs/0706.2648

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