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Open books on contact five-manifolds

Otto van Koert
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Abstract

The aim of this paper is to give an alternative proof of a theorem about the existence of contact structures on five-manifolds due to Geiges. This theorem asserts that simply-connected five-manifolds admit a contact structure in every homotopy class of almost contact structures. Our proof uses the open book construction of Giroux.

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Otto van Koert. 2007-05-28. Open books on contact five-manifolds. https://arxiv.org/abs/math/0602170

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