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arxiv: math/0411220 · v3 · submitted 2004-11-10 · 🧮 math.AG · math.CT

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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