Stability manifold of ℙ
Stability manifold of ℙ
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DOI：
10.1090/s1056-3911-06-00432-2
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发表时间：
2006-09
影响因子：
1.8
通讯作者：
So Okada
中科院分区：
文献类型：
--
作者：
So Okada
T. bridgeeland定义了三角形范畴的稳定性流形的概念，这一概念受到Douglas关于d膜的pi稳定性的研究的启发。证明了P^1上相干束的有界派生范畴的稳定性流形为C^2。这是非calabi - yau流形的稳定性流形的第一张完整图片。
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.