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arXiv:math/0411220 [math.AG]AbstractReferencesReviewsResources

Stability Manifold of P^1

So Okada

Published 2004-11-10, updated 2005-03-19Version 3

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.

Comments: Lots of minor collections made and explanations added
Journal: J. Algebraic Geom. 15 (2006), no. 3, 487--505.
Categories: math.AG, math.CT
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