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

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.

arXiv commentReference updated, The proof of Lemma 3.1 is modified with more details

References in corpus (1)

• Bypass attachments and homotopy classes of 2-plane fields in contact topology

Cited by in corpus (1)

• Liouville hypersurfaces and connect sum cobordisms