[Sur les bords de contact des singularités de surfaces normales]
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.
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.
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@article{CRMATH_2004__339_1_43_0,
author = {Caubel, Cl\'ement and Popescu-Pampu, Patrick},
title = {On the contact boundaries of normal surface singularities},
journal = {Comptes Rendus. Math\'ematique},
pages = {43--48},
publisher = {Elsevier},
volume = {339},
number = {1},
year = {2004},
doi = {10.1016/j.crma.2004.04.023},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2004.04.023/}
}
TY - JOUR AU - Caubel, Clément AU - Popescu-Pampu, Patrick TI - On the contact boundaries of normal surface singularities JO - Comptes Rendus. Mathématique PY - 2004 SP - 43 EP - 48 VL - 339 IS - 1 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2004.04.023/ DO - 10.1016/j.crma.2004.04.023 LA - en ID - CRMATH_2004__339_1_43_0 ER -
%0 Journal Article %A Caubel, Clément %A Popescu-Pampu, Patrick %T On the contact boundaries of normal surface singularities %J Comptes Rendus. Mathématique %D 2004 %P 43-48 %V 339 %N 1 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2004.04.023/ %R 10.1016/j.crma.2004.04.023 %G en %F CRMATH_2004__339_1_43_0
Caubel, Clément; Popescu-Pampu, Patrick. On the contact boundaries of normal surface singularities. Comptes Rendus. Mathématique, Tome 339 (2004) no. 1, pp. 43-48. doi : 10.1016/j.crma.2004.04.023. http://www.numdam.org/articles/10.1016/j.crma.2004.04.023/
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