Orientability of fixed point sets
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- by Allan L. Edmonds PDF
- Proc. Amer. Math. Soc. 82 (1981), 120-124 Request permission
Abstract:
It is proved that the fixed point set of a smooth involution which preserves orientation and a spin structure on a smooth manifold is necessarily orientable. As an application it is proved that a simply connected spin $4$-manifold with nonzero signature admits no involution which acts by multiplication by $- 1$ on its second rational homology group.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 120-124
- MSC: Primary 57S17; Secondary 55M35, 57S25
- DOI: https://doi.org/10.1090/S0002-9939-1981-0603614-7
- MathSciNet review: 603614