Abstract
We establish an S 1-equivariant index theorem for Dirac operators on Z /k -manifolds. As an application, we generalize the Atiyah–Hirzebruch vanishing theorem for S 1-actions on closed spin manifolds to the case of Z /k -manifolds. To cite this article: W. Zhang, C. R. Acad. Sci. Paris, Ser. I 337 (2003).
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