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

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.

17 pages. Typos corrected. One reference updated