English

Spin-structures and proper group actions

Differential Geometry 2016-02-02 v3

Abstract

We generalise Atiyah and Hirzebruch's vanishing theorem for actions by compact groups on compact Spin-manifolds to possibly noncompact groups acting properly and cocompactly on possibly noncompact Spin-manifolds. As corollaries, we obtain some vanishing results for A^\hat A-type genera.

Keywords

Cite

@article{arxiv.1411.0781,
  title  = {Spin-structures and proper group actions},
  author = {Peter Hochs and Varghese Mathai},
  journal= {arXiv preprint arXiv:1411.0781},
  year   = {2016}
}

Comments

10 pages, revised

R2 v1 2026-06-22T06:47:03.134Z