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

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

2011-02-26

arxiv.org/abs/1102.5398v2

Mathematics

Geometric Topology

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Scientific paper

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.

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