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Contact structures on 3-manifolds are deformations of foliations

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arxiv math/0607825 v2 pith:JEXDPCMS submitted 2006-07-31 math.SG math.GT

John B. Etnyre This is my paper · ORCID
classification math.SGmath.GT
keywords contactdeformationsfoliationsstructuresansweringclosedeliashberginfty
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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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Cited by 1 Pith paper

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  1. Boundary framings for locally conformally symplectic four-manifolds

    math.AT 2025-02 reject novelty 5.0 of 10

    The paper proposes a rational homotopy model for a classifying space of locally conformally symplectic four-manifolds and a cobordism category of three-manifolds with Omega^2 S^2-bundle framings, but the standalone te...

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