Tight contact structures on hyperbolic three-manifolds
TOPOLOGY AND ITS APPLICATIONS, vol.231, pp.345-352, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 231
- Publication Date: 2017
- Doi Number: 10.1016/j.topol.2017.09.020
- Journal Name: TOPOLOGY AND ITS APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.345-352
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
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.