Journal of Symplectic Geometry

Volume 11 (2013)

Number 4

A proof of the classification theorem of overtwisted contact structures via convex surface theory

Pages: 563 – 601

DOI: http://dx.doi.org/10.4310/JSG.2013.v11.n4.a3

Author

Yang Huang (University of Southern California, Los Angeles, Calif., U.S.A.)

Abstract

In [2], Eliashberg proved that two overtwisted contact structures on a closed oriented 3-manifold are isotopic through contact structures if and only if they are homotopic as 2-plane fields. We provide an alternative proof of this theorem using the convex surface theory and bypasses.

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