Milnor fillable contact structures are universally tight

Details Milnor fillable contact structures are universally tight Milnor fillable contact structures are universally tight

2010-05-13

arxiv.org/abs/1005.2385v3

Mathematics

Geometric Topology

12 pages, 2 figures. Improved exposition following a referee's comments

Scientific paper

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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