Comptes Rendus
Differential Topology/Analytic Geometry
On the contact boundaries of normal surface singularities
Comptes Rendus. Mathématique, Volume 339 (2004) no. 1, pp. 43-48.

The abstract boundary M of a normal complex-analytic surface singularity is canonically equipped with a contact structure. We show that if M is a rational homology sphere, then this contact structure is uniquely determined by the topological type of M. An essential tool is the notion of open book carrying a contact structure, defined by E. Giroux.

Le bord abstrait M d'une singularité analytique complexe de surface normale est canoniquement muni d'une structure de contact. Nous montrons que si M est une sphère d'homologie rationnelle, alors cette structure de contact est uniquement déterminée par le type topologique de M. Un outil essentiel est la notion de livre ouvert portant une structure de contact, définie par E. Giroux.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2004.04.023
Clément Caubel 1; Patrick Popescu-Pampu 2

1 5, rue Henri Poincaré, 75020 Paris, France
2 Univ. Paris 7 Denis Diderot, inst. de maths.–UMR CNRS 7586, équipe « Géométrie et dynamique », case 7012, 2, place Jussieu, 75251 Paris cedex 05, France
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Clément Caubel; Patrick Popescu-Pampu. On the contact boundaries of normal surface singularities. Comptes Rendus. Mathématique, Volume 339 (2004) no. 1, pp. 43-48. doi : 10.1016/j.crma.2004.04.023. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.04.023/

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