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We study some examples of Bridgeland-Douglas stability conditions on triangulated categories.
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M.R. Douglas, Dirichlet branes, homological mirror symmetry, and stability . Proceedings of the International Congress of Mathematicians, Vol. III (Beijing, 2002), 395–408, Higher Ed. Press (2002), also math.AG/0207021
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A.L. Gorodentsev, S.A. Kuleshov and A.N. Rudakov, t t -stabilities and t t -structures on triangulated categories . (Russian) Izv. Ross. Akad. Nauk Ser. Mat. 68 (2004), no. 4, 117–150; translation in Izv. Math. 68 (2004), no. 4, 749–781, also math.AG/0312442
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S. Okada, Stability manifold of ℙ 1 \mathbb{P}^{1} . J. Algebraic Geom. 15 (2006), no. 3, 487–505, also math.AG/0411220
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1995
Cited alongside, same era.
P.S. Aspinwall, D-Branes, Pi-Stability and Theta-Stability , preprint hep-th/0407123
Cited in the paper.
T. Bridgeland, Stability conditions on triangulated categories , preprint math.AG/0212237. To appear in Ann. Math
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E. Macrì, Some examples of spaces of stability conditions on derived categories , preprint math.AG/0411613
Cited in the paper.