Open books on contact five-manifolds
classification
🧮 math.SG
math.GT
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contactfive-manifoldsopenproofstructurestheoremadmitalmost
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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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