Spin-structures and proper group actions
classification
🧮 math.DG
keywords
actionscompactgroupsnoncompactpossiblyspin-manifoldsvanishingacting
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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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