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Spin-structures and proper group actions

arXiv:1411.0781 · doi:10.1016/j.aim.2016.01.010

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 $\hat A$-type genera.

10 pages, revised