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

Vu, Khoi The

Annales de l'Institut Fourier, Tome 61 (2011) no. 2, pp. 775-797.

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.

Classification : 32V05, 58J28, 32Q20
Keywords: Spherical CR structures, Burns-Epstein invariant, Chern-Simons invariant
Mot clés : structures CR sphériques, invariant de Burns-Epstein, invariant de Chern-Simons

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