Symplectic Capacities of Toric Manifolds and Related Results
Symplectic Capacities of Toric Manifolds and Related Results
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DOI：
10.1017/s0027763000025708
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发表时间：
2003-12
影响因子：
0.8
通讯作者：
Guangcun Lu
中科院分区：
文献类型：
--
作者：
Guangcun Lu
本文给出了组合数据下复曲面流形的伪辛容度的具体估计。给出了一些例子，表明我们的估计可以计算它们的伪辛容量。作为应用，我们还估计了多边形空间的辛容量。其他相关的结果是辛blow-up的影响辛容量，辛包装在辛环面流形，Seshadri常数的一个样本线丛环面流形，辛容量辛流形与S1-行动。
Abstract In this paper we give concrete estimations for the pseudo symplectic capacities of toric manifolds in combinatorial data. Some examples are given to show that our estimates can compute their pseudo symplectic capacities. As applications we also estimate the symplectic capacities of the polygon spaces. Other related results are impacts of symplectic blow-up on symplectic capacities, symplectic packings in symplectic toric manifolds, the Seshadri constant of an ample line bundle on toric manifolds, and symplectic capacities of symplectic manifolds with S 1-action.