A Legendrian surgery presentation of contact 3-manifolds
Symplectic Geometry
2009-11-07 v2 Geometric Topology
Abstract
We prove that every closed, connected contact 3-manifold can be obtained from the 3-sphere with its standard contact structure by contact surgery of coefficient plus or minus 1 along a Legendrian link. As a corollary, we derive a result of Etnyre and Honda about symplectic cobordisms (in slightly stronger form).
Keywords
Cite
@article{arxiv.math/0107045,
title = {A Legendrian surgery presentation of contact 3-manifolds},
author = {Fan Ding and Hansjörg Geiges},
journal= {arXiv preprint arXiv:math/0107045},
year = {2009}
}
Comments
18 pages, Section 3 and three figures added. To appear in Math. Proc. Cambridge Philos. Soc