We present a direct analytic treatment of the Rokhlin congruence formula R2 by calculating the adiabatic limit of -invariants of Dirac operators on circle bundles. Extensions to higher dimensions are obtained.
Nous présentons un traitement analytique des congruences de Rokhlin R2 en calculant la limite adiabatique d’invariants d’opérateurs de Dirac opérant sur des fibrés en cercles. Une extension de ce résultat en dimension supérieure est également obtenue.
@article{AIF_1994__44_1_249_0, author = {Zhang, Weiping}, title = {Circle bundles, adiabatic limits of $\eta $-invariants and {Rokhlin} congruences}, journal = {Annales de l'Institut Fourier}, pages = {249--270}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {44}, number = {1}, year = {1994}, doi = {10.5802/aif.1396}, mrnumber = {95h:58127}, zbl = {0792.57012}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.1396/} }
TY - JOUR AU - Zhang, Weiping TI - Circle bundles, adiabatic limits of $\eta $-invariants and Rokhlin congruences JO - Annales de l'Institut Fourier PY - 1994 SP - 249 EP - 270 VL - 44 IS - 1 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.1396/ DO - 10.5802/aif.1396 LA - en ID - AIF_1994__44_1_249_0 ER -
%0 Journal Article %A Zhang, Weiping %T Circle bundles, adiabatic limits of $\eta $-invariants and Rokhlin congruences %J Annales de l'Institut Fourier %D 1994 %P 249-270 %V 44 %N 1 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.1396/ %R 10.5802/aif.1396 %G en %F AIF_1994__44_1_249_0
Zhang, Weiping. Circle bundles, adiabatic limits of $\eta $-invariants and Rokhlin congruences. Annales de l'Institut Fourier, Volume 44 (1994) no. 1, pp. 249-270. doi : 10.5802/aif.1396. http://www.numdam.org/articles/10.5802/aif.1396/
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