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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: [email protected]
HANSJÖRG GEIGES
Affiliation:
Mathematisches Institut, Universität zu Köln, Weyertal 86–90, 50931 Köln, Germany. e-mail: [email protected]
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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

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