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http://hdl.handle.net/11452/32088
Title: | Tight contact structures on hyperbolic three-manifolds |
Authors: | Arıkan, M. Fırat Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. Seçgin, Merve 57196420861 |
Keywords: | Mathematics Contact structure Tight Stein fillable Open book Hyperbolic manifold Existence |
Issue Date: | 26-Sep-2017 |
Publisher: | Elsevier |
Citation: | Arıkan, M. F. ve Seçgin, M. (2017). ''Tight contact structures on hyperbolic three-manifolds''. Topology and its Applications, 231, 345-352. |
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. |
URI: | https://doi.org/10.1016/j.topol.2017.09.020 https://www.sciencedirect.com/science/article/pii/S0166864117304753 http://hdl.handle.net/11452/32088 |
ISSN: | 0166-8641 1879-3207 |
Appears in Collections: | Scopus Web of Science |
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Seçkin_vd_2017.pdf | 439.91 kB | Adobe PDF | View/Open |
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