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International Mathematics Research Notices (2004) 2004:4255-4267, doi:10.1155/S1073792804142207
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Copyright © 2004 Hindawi Publishing Corporation. All rights reserved.

Planar open book decompositions and contact structures

John B. Etnyre

We observe that while all overtwisted contact structures on compact 3-manifolds are supported by planar open book decompositions, not all contact structures are. This has relevance to the Weinstein conjecture and invariants of contact structures.


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