Stability Manifold of P^1

So Okada

Stability Manifold of P^1

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arxiv math/0411220 v3 pith:WD2Q6HNW submitted 2004-11-10 math.AG math.CT

So Okada This is my paper · ORCID

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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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A Real Reduction of the Manifold of Bridgeland Stability Conditions
math.AG 2025-06 accept novelty 7.0 of 10

A quotient of the stability manifold by an equivalence relation is a real manifold of half dimension, and the original manifold can be reconstructed from the quotient together with the relation ≲.

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