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2016 Open book decompositions of fiber sums in contact topology
Mirko Klukas
Algebr. Geom. Topol. 16(3): 1253-1277 (2016). DOI: 10.2140/agt.2016.16.1253

Abstract

We describe compatible open books for the fiber connected sum along binding components and along multisections of open books. As an application, the first description provides simple ways of constructing open books supporting all tight contact structures on T3, recovering a result by Van Horn-Morris, as well as an open book supporting the result of a Lutz twist along a binding component of an open book, recovering a result by Ozbagci and Pamuk.

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Mirko Klukas. "Open book decompositions of fiber sums in contact topology." Algebr. Geom. Topol. 16 (3) 1253 - 1277, 2016. https://doi.org/10.2140/agt.2016.16.1253

Information

Received: 17 July 2012; Revised: 14 August 2015; Accepted: 17 August 2015; Published: 2016
First available in Project Euclid: 28 November 2017

zbMATH: 1356.57016
MathSciNet: MR3523038
Digital Object Identifier: 10.2140/agt.2016.16.1253

Subjects:
Primary: 57M50, 57Mxx

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.16 • No. 3 • 2016
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