Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-27T10:35:40.706Z Has data issue: false hasContentIssue false
  • English
  • Français

A Legendrian surgery presentation of contact 3-manifolds

Published online by Cambridge University Press:  21 April 2004

FAN DING  and
HANSJÖRG GEIGES
FAN DING
Affiliation:
Department of Mathematics, Peking University, Beijing 100871, P. R. China. e-mail: dingfan@math.pku.edu.cn
HANSJÖRG GEIGES
Affiliation:
Mathematisches Institut, Universität zu Köln, Weyertal 86–90, 50931 Köln, Germany. e-mail: geiges@math.uni-koeln.de
Get access Rights & Permissions [Opens in a new window]

Abstract

We prove that every closed, connected contact 3-manifold can be obtained from $S^3$ with its standard contact structure by contact (${\pm}1$)-surgery along a Legendrian link. As a corollary, we derive a result of Etnyre and Honda about symplectic cobordisms (in a slightly stronger form).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 136 , Issue 3 , May 2004 , pp. 583 - 598
Copyright
2004 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)