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Contact structures on 3-manifolds are deformations of foliations

John B. Etnyre
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Abstract

In this note we observe, answering a question of Eliashberg and Thurston, that all contact structures on a closed oriented 3-manifold are $C^\infty$-deformations of foliations.

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John B. Etnyre. 2006-10-26. Contact structures on 3-manifolds are deformations of foliations. https://arxiv.org/abs/math/0607825

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