English

Circle actions and Z/k-manifolds

Differential Geometry 2007-05-23 v2 Algebraic Topology

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.

Keywords

Cite

@article{arxiv.math/0306102,
  title  = {Circle actions and Z/k-manifolds},
  author = {Weiping Zhang},
  journal= {arXiv preprint arXiv:math/0306102},
  year   = {2007}
}

Comments

6 pages. Minor changes for the published version

R2 v1 2026-07-22T16:55:13.228Z