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arXiv · 1504.08149

A correspondence between a class of cone structures and contact forms

Mélanie Bertelson·Cédric De Groote
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Abstract

In the spirit of Sullivan's paper "Cycles for the Dynamical Study of Foliated Manifolds and Complex Manifolds", existence of a contact structure on a closed manifold $M$ is shown to be equivalent to existence of an ample $S^1$-invariant cone structure with no nontrivial exact structure cycles on the manifold $S^1 \times M$.

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Mélanie Bertelson, Cédric De Groote. 2015-04-30. A correspondence between a class of cone structures and contact forms. https://arxiv.org/abs/1504.08149

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