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Planar open book decompositions and contact structures.

Authors :
Etnyre, John B.
Source :
IMRN: International Mathematics Research Notices. 2004, Vol. 2004 Issue 79, p4255-4267. 13p.
Publication Year :
2004

Abstract

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MATHEMATICAL decomposition
*MANIFOLDS (Mathematics)
*MATHEMATICS theorems
*SUBSPACES (Mathematics)
*INVARIANTS (Mathematics)
*EULER number
*TOPOLOGY

Details

Language :
English
ISSN :
10737928
Volume :
2004
Issue :
79
Database :
Academic Search Index
Journal :
IMRN: International Mathematics Research Notices
Publication Type :
Academic Journal
Accession number :
80117392
Full Text :
https://doi.org/10.1155/S1073792804142207
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