Stability conditions and Kleinian singularities

Tom Bridgeland

Stability conditions and Kleinian singularities

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arxiv math/0508257 v3 pith:3NRLGW5B submitted 2005-08-15 math.AG math.RT

Tom Bridgeland This is my paper · ORCID

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keywords categoriesalgebrasconditionskleiniansingularitiesspacesstabilityalgebraically

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We describe the spaces of stability conditions on certain triangulated categories associated to Dynkin diagrams. These categories can be defined either algebraically via module categories of preprojective algebras, or geometrically via coherent sheaves on resolutions of Kleinian singularities. The resulting spaces are related to regular subsets of the corresponding complexified Cartan algebras.

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Contractibility and total semi-stability conditions of Euclidean quivers
math.RT 2025-01 conditional novelty 6.0 of 10

The moduli space of total semi-stability conditions on Euclidean quivers is described by partition data and contracts linearly to any non-concentrated stability condition.

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