Journal of Symplectic Geometry
Volume 11 (2013)
A proof of the classification theorem of overtwisted contact structures via convex surface theory
Pages: 563 – 601
In , 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.