Universität zu Köln

Doerner, Max, Geiges, Hansjoerg and Zehmisch, Kai ORCID: 0000-0002-9512-860X (2014). OPEN BOOKS AND THE WEINSTEIN CONJECTURE. Q. J. Math., 65 (3). S. 869 - 886. OXFORD: OXFORD UNIV PRESS. ISSN 1464-3847

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Abstract

We show the existence of a contractible periodic Reeb orbit for any contact structure supported by an open book whose binding can be realized as a hypersurface of restricted contact type in a subcritical Stein manifold. A key ingredient in the proof is a higher dimensional version of Eliashberg's theorem about symplectic cobordisms from a contact manifold to a symplectic fibration.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Doerner, Max UNSPECIFIED UNSPECIFIED UNSPECIFIED Geiges, Hansjoerg UNSPECIFIED UNSPECIFIED UNSPECIFIED Zehmisch, Kai UNSPECIFIED orcid.org/0000-0002-9512-860X UNSPECIFIED
URN:	urn:nbn:de:hbz:38-429784
DOI:	10.1093/qmath/hat055
Journal or Publication Title:	Q. J. Math.
Volume:	65
Number:	3
Page Range:	S. 869 - 886
Date:	2014
Publisher:	OXFORD UNIV PRESS
Place of Publication:	OXFORD
ISSN:	1464-3847
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CONTACT STRUCTURES; LAGRANGIAN SUBMANIFOLDS; BRIESKORN MANIFOLDS; DIMENSION 3; COMPACTNESS; CURVES Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/42978