A proof of the classification theorem of overtwisted contact structures via convex surface theory
classification
🧮 math.GT
keywords
contactconvexovertwistedproofstructuressurfacetheoremtheory
read the original 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.
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