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Milnor fillable contact structures are universally tight

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Lekili, Yanki

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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 in [12].

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International Press Institute (IPI)

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Mathematics

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Has Part

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Mathematical Research Letters

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