Milnor fillable contact structures are universally tight

Yanki Lekili, Burak Ozbagci
2010 Mathematical Research Letters  
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] .
doi:10.4310/mrl.2010.v17.n6.a5 fatcat:tn2ssg3osje53od26co5pudase