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.
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.
Keywords: Spherical CR structures, Burns-Epstein invariant, Chern-Simons invariant
Mot clés : structures CR sphériques, invariant de Burns-Epstein, invariant de Chern-Simons
@article{AIF_2011__61_2_775_0, author = {Vu, Khoi The}, title = {On the {Burns-Epstein} invariants of spherical {CR} 3-manifolds}, journal = {Annales de l'Institut Fourier}, pages = {775--797}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {61}, number = {2}, year = {2011}, doi = {10.5802/aif.2629}, zbl = {1228.32036}, mrnumber = {2895073}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.2629/} }
TY - JOUR AU - Vu, Khoi The TI - On the Burns-Epstein invariants of spherical CR 3-manifolds JO - Annales de l'Institut Fourier PY - 2011 SP - 775 EP - 797 VL - 61 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2629/ DO - 10.5802/aif.2629 LA - en ID - AIF_2011__61_2_775_0 ER -
%0 Journal Article %A Vu, Khoi The %T On the Burns-Epstein invariants of spherical CR 3-manifolds %J Annales de l'Institut Fourier %D 2011 %P 775-797 %V 61 %N 2 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2629/ %R 10.5802/aif.2629 %G en %F AIF_2011__61_2_775_0
Vu, Khoi The. On the Burns-Epstein invariants of spherical CR 3-manifolds. Annales de l'Institut Fourier, Volume 61 (2011) no. 2, pp. 775-797. doi : 10.5802/aif.2629. http://www.numdam.org/articles/10.5802/aif.2629/
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