A proof of the classification theorem of overtwisted contact structures via convex surface theory
Geometric Topology
2012-08-03 v3
Abstract
In 1989, Y. Eliashberg proved that two overtwisted contact structures on a closed oriented 3-manifold are isotopic 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.
Keywords
Cite
@article{arxiv.1102.5398,
title = {A proof of the classification theorem of overtwisted contact structures via convex surface theory},
author = {Yang Huang},
journal= {arXiv preprint arXiv:1102.5398},
year = {2012}
}
Comments
Reference updated, The proof of Lemma 3.1 is modified with more details