Stability Manifold of P¹
classification
🧮 math.AG
math.CT
keywords
manifoldstabilitycategoryboundedbridgelandcoherentcompleted-branes
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T. Bridgeland defined the notion of a stability manifold for a triangulated category, motivated by Douglas's work on \Pi-stability for D-branes. We show that the stability manifold of the bounded derived category of the coherent sheaves on P^1 is C^2. This is the first complete picture of a stability manifold for a non-Calabi-Yau manifold.
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