2003arXiv (Cornell University)Open access

Stability data and t-structures on a triangulated category

A. Gorodentscev, Sergej Alekseevich Kuleshov, Рудаков Алексей Николаевич

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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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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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Available 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.

Key concepts: Derived category, Triangulated category, Bounded function, Generalization, Stability (learning theory), Mathematics, Pure mathematics, Coherent sheaf

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