Symplectic fillings and cobordisms of lens spaces
Symplectic fillings and cobordisms of lens spaces
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DOI：
10.1090/tran/8474
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发表时间：
2020-06
影响因子：
1.3
通讯作者：
John B. Etnyre;Agniva Roy
中科院分区：
文献类型：
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作者：
John B. Etnyre;Agniva Roy
完成了透镜空间上紧接触结构的辛填充的分类。特别是，我们表明，任何辛填充$X$的一个虚拟overtwisted接触结构的$L（p，q）$有另一个辛结构，填充普遍紧接触结构的$L（p，q）$。此外，我们还证明了具有最大二次同调的L（p，q）的Stein填充是由盘丛的铅垂给出的.我们还考虑了在透镜空间之间构造辛配边的问题，并报道了一些部分结果。
We complete the classification of symplectic fillings of tight contact structures on lens spaces. In particular, we show that any symplectic filling $X$ of a virtually overtwisted contact structure on $L(p,q)$ has another symplectic structure that fills the universally tight contact structure on $L(p,q)$. Moreover, we show that the Stein filling of $L(p,q)$ with maximal second homology is given by the plumbing of disk bundles. We also consider the question of constructing symplectic cobordisms between lens spaces and report some partial results.