Homotopy classes of total foliations and bi-contact structures on three-manifolds

Details Homotopy classes of total foliations and bi-contact structures on three-manifolds Homotopy classes of total foliations and bi-contact structures on three-manifolds

2007-06-13

arxiv.org/abs/0706.1879v2

Mathematics

Geometric Topology

27 pages, 13 figures. This is the final version. To appear in Comm. Math. Helv

Scientific paper

On every compact and orientable three-manifold, we construct total foliations
(three codimension 1 foliations that are transverse at every point). This
construction can be performed on any homotopy class of plane fields with
vanishing Euler class.
As a corollary we obtain similar results on bi-contact structures.

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