Milnor fillable contact structures are universally tight

Yanki Lekili; Burak Ozbagci

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arXiv · 1005.2385

Milnor fillable contact structures are universally tight

Yanki Lekili·Burak Ozbagci

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Abstract

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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Yanki Lekili, Burak Ozbagci. 2010-09-01. Milnor fillable contact structures are universally tight. https://arxiv.org/abs/1005.2385

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