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Abstract
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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
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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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Keywords
open book decomposition, contact topology, fiber sums,
binding sum, braided knots, transverse knots
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Mathematical Subject Classification 2010
Primary: 57M50, 57MXX
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Publication
Received: 17 July 2012
Revised: 14 August 2015
Accepted: 17 August 2015
Published: 1 July 2016
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