On the Burns-Epstein invariants of  spherical CR 3-manifolds

Vu, Khoi The

On the Burns-Epstein invariants of spherical CR 3-manifolds
[Sur les invariants de Burns-Epstein des variétés CR sphériques de dimension 3]

Vu, Khoi The

Annales de l'Institut Fourier, Tome 61 (2011), p. 775-797 / Harvested from Numdam

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Résumé
Abstract

Dans cet article nous développons une méthode pour calculer l’invariant de Burns-Epstein d’une sphère d’homologie CR sphérique, à un nombre entier près, de sa représentation d’holonomie. Comme application, nous donnons une formule pour l’invariant de Burns-Epstein, modulo un nombre entier, d’une structure CR sphérique sur une sphère d’homologie fibrée de Seifert en termes de sa représentation d’holonomie.

In this paper we develop a method to compute the Burns-Epstein invariant of a spherical CR homology sphere, up to an integer, from its holonomy representation. As an application, we give a formula for the Burns-Epstein invariant, modulo an integer, of a spherical CR structure on a Seifert fibered homology sphere in terms of its holonomy representation.

Publié le : 2011-01-01

MR 2895073 | Zbl 1228.32036

DOI : https://doi.org/10.5802/aif.2629
Classification: 32V05, 58J28, 32Q20
Mots clés: structures CR sphériques, invariant de Burns-Epstein, invariant de Chern-Simons

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     author = {Vu, Khoi The},
     title = {On the Burns-Epstein invariants of  spherical CR 3-manifolds},
     journal = {Annales de l'Institut Fourier},
     volume = {61},
     year = {2011},
     pages = {775-797},
     doi = {10.5802/aif.2629},
     zbl = {1228.32036},
     mrnumber = {2895073},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2011__61_2_775_0}
}

Vu, Khoi The. On the Burns-Epstein invariants of  spherical CR 3-manifolds. Annales de l'Institut Fourier, Tome 61 (2011) pp. 775-797. doi : 10.5802/aif.2629. http://gdmltest.u-ga.fr/item/AIF_2011__61_2_775_0/

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