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2006 / June Volume 1 No.2
Vanishing of the contact homology of overtwisted contact 3-manifolds
Published Date
2006 / June
Title
Vanishing of the contact homology of overtwisted contact 3-manifolds
Author
Mei-Lin Yau
Keyword
Contact homology, open book, overtwisted contact structure, Contact homology, open book, overtwisted contact structure
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Pagination
211-229
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.
AMS Subject
Classification
57R17, 53D35
Received
2005-02-17
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