Tight contact structures on hyperbolic three-manifolds


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ARIKAN M. F. , Secgin M.

TOPOLOGY AND ITS APPLICATIONS, cilt.231, ss.345-352, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 231
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.topol.2017.09.020
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.345-352

Özet

Let Sigma(g) denote a closed orientable surface of genus g >= 2. We consider a certain infinite family of Sigma(g)-bundles over circle whose monodromies are taken from some collection of pseudo-Anosov diffeomorphisms. We show the existence of tight contact structure on every closed 3-manifold obtained via rational r-surgery along a section of any member of the family whenever r not equal 2g - 1. Combining with Thurston's hyperbolic Dehn surgery theorem, we obtain infinitely many hyperbolic closed 3-manifolds admitting tight contact structures. (C) 2017 Elsevier B.V. All rights reserved.