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arXiv 1005.2385math.GTmath.SG
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Milnor可填充切触结构是通用的紧密型

Milnor fillable contact structures are universally tight

Yanki Lekili, Burak Ozbagci

摘要:

证明了正规复奇点链环上的正则切触结构是泛紧的。作为一个推论,我们显示存在封闭的,定向的,atoroidal 3-流形与无限的基本群进行普遍紧张的切触结构,不是变形的紧张(或Reebless)叶理。这回答了Etnyre的两个问题。

英文摘要:

We show that the canonical contact structure on the link of a normal complex singularity is universally tight. As a corollary we show the existence of closed, oriented, atoroidal 3-manifolds with infinite fundamental groups which carry universally tight contact structures that are not deformations of taut (or Reebless) foliations. This answers two questions of Etnyre.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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