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Stability data and t-structures on a triangulated category

A. Gorodentscev·S. Kuleshov·A. Rudakov
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Abstract

We propose the notion of stability on a triangulated category that is a generalization of the T.Bridgeland's stability data. We establish connections between stabilities and t-structures on a category and as application we get the classification of bounded t-structures on the bounded derived category of coherent sheaves on a line.

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A. Gorodentscev, S. Kuleshov, A. Rudakov. 2003-12-24. Stability data and t-structures on a triangulated category. https://arxiv.org/abs/math/0312442

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