Planar open book decompositions and contact structures
辛几何
2007-05-23 v3 几何拓扑
摘要
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.
引用
@article{arxiv.math/0404267,
title = {Planar open book decompositions and contact structures},
author = {John B. Etnyre},
journal= {arXiv preprint arXiv:math/0404267},
year = {2007}
}
备注
10 pages, 3 figures. Proof that overtwisted contact structures are supported by open books is corrected. Various improvements in the exposition