Stability Manifold of P^1

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T. Bridgeland defined the notion of a stability manifold for a triangulated category, motivated by Douglas's work on Π-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.
Lots of minor collections made and explanations added

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