Circle actions and Z/k-manifolds

Details Circle actions and Z/k-manifolds Circle actions and Z/k-manifolds

2003-06-05

arxiv.org/abs/math/0306102v2

C. R. Acad. Sci. Paris, Ser. I, 337 (2003), 57-60

Mathematics

Differential Geometry

6 pages. Minor changes for the published version

Scientific paper

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.

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