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Comptes Rendus Mathématique
Volume 337, n° 1
pages 57-60 (juillet 2003)
Doi : 10.1016/S1631-073X(03)00279-6
Received : 26 May 2003 ;  accepted : 3 June 2003
Circle actions and  -manifolds

Weiping  Zhang 1
Nankai Institute of Mathematics, Nankai University, Tianjin 300071, PR China 


We establish an  -equivariant index theorem for Dirac operators on  -manifolds. As an application, we generalize the Atiyah-Hirzebruch vanishing theorem for  -actions on closed spin manifolds to the case of  -manifolds. To cite this article: W. Zhang, C. R. Acad. Sci. Paris, Ser. I 337 (2003).


On établit un théorème d'indice  -équivariant pour les opérateurs de Dirac sur des   variétés. On donne une application de ce résultat, qui généralise le théorème d'Atiyah-Hirzebruch sur les actions de   aux   variétés. Pour citer cet article : W. Zhang, C. R. Acad. Sci. Paris, Ser. I 337 (2003).

1  Partially supported by the MOEC and the 973 project.

© 2003  Académie des sciences@@#104156@@

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