A Legendrian surgery presentation of contact 3-manifolds

Details A Legendrian surgery presentation of contact 3-manifolds A Legendrian surgery presentation of contact 3-manifolds

2001-07-06

arxiv.org/abs/math/0107045v2

Math. Proc. Cambridge Philos. Soc. 136 (2004), 583-598.

Mathematics

Symplectic Geometry

18 pages, Section 3 and three figures added. To appear in Math. Proc. Cambridge Philos. Soc

Scientific paper

10.1017/S0305004103007412

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).

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