Open books on contact five-manifolds

Details Open books on contact five-manifolds Open books on contact five-manifolds

2006-02-08

arxiv.org/abs/math/0602170v2

Mathematics

Symplectic Geometry

15 pages, 2 figures; typos corrected, used simpler argument for section 3; to appear in Annales de l'institut Fourier

Scientific paper

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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