Ellipsoid embeddings and symplectic packing stability
Ellipsoid embeddings and symplectic packing stability
复制标题
椭球嵌入和辛堆积稳定性
DOI：
10.1112/s0010437x12000826
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发表时间：
2011
影响因子：
1.8
通讯作者：
R. Hind
中科院分区：
文献类型：
--
作者：
O. Buse;R. Hind
摘要证明了有理辛流形的填充稳定性。这将依赖于椭球的一般辛嵌入结果，该结果仅假设没有体积障碍并且区域相对于目标足够薄。我们还得到了嵌入接触同调容量的易于计算的界，这些界足以暗示在四维辛体积填充嵌入的存在。
Abstract We prove packing stability for rational symplectic manifolds. This will rely on a general symplectic embedding result for ellipsoids which assumes only that there is no volume obstruction and that the domain is sufficiently thin relative to the target. We also obtain easily computable bounds for the Embedded Contact Homology capacities which are sufficient to imply the existence of some symplectic volume filling embeddings in dimension 4.