Erratum to: Symplectic embeddings of polydisks
Erratum to: Symplectic embeddings of polydisks
复制标题
勘误：多盘的辛嵌入
DOI：
10.1007/s00029-016-0297-z
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
S. Lisi
中科院分区：
文献类型：
--
作者：
R. Hind;S. Lisi
引理6.1的原始证明隐含地假设在极限建筑物F中的所有上层曲线在类（a，0）中具有渐近于测地线的穿孔。（我们自始至终都采用与正文相同的符号。）本勘误表的目的是证明这一假设的合理性;这种合理性将依赖于我们的定量假设。引理的陈述保持不变。假设我们建筑物的顶层F0有一条曲线f，它不是叶理F中曲线的覆盖。然后，由于F的亏格为0，f的每个穿刺必须与叶理曲线的极限的并集相匹配。因此，极限测地线必须确实位于类（a，0）中。因此，我们只需确定以下几点。
The original proof of Lemma 6.1 implicitly assumed that all upper level curves in the limiting building F had punctures asymptotic to geodesics in the classes (a, 0). (Throughout we are adopting the same notation as in the main paper.) The purpose of this erratum is to justify this assumption; the justification will rely on our quantitative hypotheses. The statement of the lemma remains unchanged. Suppose that F0, the top level of our building, has a single curve f which is not a cover of curves in the foliation F . Then since F has genus 0, each puncture of f must be matched to unions of limits of the foliation curves. Hence the limiting geodesics must indeed lie in the classes (a, 0). It therefore suffices for us to establish the following.