Planar open book decompositions and contact structures

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this note 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 invariants of contact structures and also to the Weinstein conjecture via work of Abbas Cieliebak and Hofer.
10 pages, 3 figures. Proof that overtwisted contact structures are supported by open books is corrected. Various improvements in the exposition

Keywords

Symplectic Geometry, Geometric Topology, 53D05, 53D10, 57M50

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/70861

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404267
 http://arxiv.org/abs/math/0404267

Collections

arXiv