In this paper, we calculate the behaviour of the equivariant Quillen metric by submersions. We thus extend a formula of Berthomieu-Bismut to the equivariant case.
Dans cet article, on calcule le comportement de la métrique de Quillen équivariante par submersions. On étend ainsi une formule de Berthomieu-Bismut au cas équivariant.
@article{AIF_2000__50_5_1539_0, author = {Ma, Xiaonan}, title = {Submersions and equivariant {Quillen} metrics}, journal = {Annales de l'Institut Fourier}, pages = {1539--1588}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {50}, number = {5}, year = {2000}, doi = {10.5802/aif.1800}, mrnumber = {2002c:58053}, zbl = {0964.58025}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1800/} }
TY - JOUR AU - Ma, Xiaonan TI - Submersions and equivariant Quillen metrics JO - Annales de l'Institut Fourier PY - 2000 SP - 1539 EP - 1588 VL - 50 IS - 5 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.1800/ DO - 10.5802/aif.1800 LA - en ID - AIF_2000__50_5_1539_0 ER -
%0 Journal Article %A Ma, Xiaonan %T Submersions and equivariant Quillen metrics %J Annales de l'Institut Fourier %D 2000 %P 1539-1588 %V 50 %N 5 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.1800/ %R 10.5802/aif.1800 %G en %F AIF_2000__50_5_1539_0
Ma, Xiaonan. Submersions and equivariant Quillen metrics. Annales de l'Institut Fourier, Volume 50 (2000) no. 5, pp. 1539-1588. doi : 10.5802/aif.1800. http://archive.numdam.org/articles/10.5802/aif.1800/
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