Geodesic
Open book decompositions of fiber sums in contact topology
Klukas, Mirko1
1Mathematisches Institut, Universität zu Köln, Weyertal 86–90, D-50931 Köln, Germany
Algebraic and Geometric Topology, Tome 16 (2016) no. 3, pp. 1253-1277
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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.

DOI : 10.2140/agt.2016.16.1253
Classification : 57M50, 57MXX
Keywords: open book decomposition, contact topology, fiber sums, binding sum, braided knots, transverse knots

Klukas, Mirko  1

1 Mathematisches Institut, Universität zu Köln, Weyertal 86–90, D-50931 Köln, Germany 
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Klukas, Mirko. Open book decompositions of fiber sums in contact topology. Algebraic and Geometric Topology, Tome 16 (2016) no. 3, pp. 1253-1277. doi: 10.2140/agt.2016.16.1253

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