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Vanishing of the contact homology of overtwisted contact 3--manifolds

Mei-Lin Yau
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Abstract

We give a proof of, for the case of contact structures defined by global contact 1-forms, a Theorem stated by Eliashberg that for any overtwisted contact structure on a closed 3-manifold, its contact homology is 0. A different proof is also outlined in the appendix by Yakov Eliashberg.

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Mei-Lin Yau. 2005-02-18. Vanishing of the contact homology of overtwisted contact 3--manifolds. https://arxiv.org/abs/math/0411014

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