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arXiv · 1411.0781

Spin-structures and proper group actions

Peter Hochs·Varghese Mathai
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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.

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Peter Hochs, Varghese Mathai. 2016-01-04. Spin-structures and proper group actions. https://doi.org/10.1016/j.aim.2016.01.010

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