Milnor可填充切触结构是通用的紧密型
Milnor fillable contact structures are universally tight
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.
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