The space of Bridgeland stability conditions is a complex manifold that can be attached to a triangulated category, of which it encodes some homological properties. These notes are an introduction to this topic, with a focus on examples from representation theory, and review the example of the Bridgeland–Smith correspondence for some quiver categories from marked surfaces.
Spaces of Bridgeland stability conditions in representation theory
Anna Barbieri
2025-01-01
Abstract
The space of Bridgeland stability conditions is a complex manifold that can be attached to a triangulated category, of which it encodes some homological properties. These notes are an introduction to this topic, with a focus on examples from representation theory, and review the example of the Bridgeland–Smith correspondence for some quiver categories from marked surfaces.
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