Circle actions and Z/k-manifolds

Weiping Zhang

arxiv: math/0306102 · v2 · submitted 2003-06-05 · 🧮 math.DG · math.AT

Circle actions and Z/k-manifolds

Weiping Zhang This is my paper

classification 🧮 math.DG math.AT

keywords k-manifoldsactionstheoremapplicationatiyah-hirzebruchcasecircleclosed

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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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Circle actions and Z/k-manifolds

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