Involutions on spin 4-manifolds

Ruberman, Daniel

doi:10.1090/S0002-9939-1995-1231042-2

Involutions on spin $4$-manifolds
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by Daniel Ruberman

Proc. Amer. Math. Soc. 123 (1995), 593-596

DOI: https://doi.org/10.1090/S0002-9939-1995-1231042-2

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Abstract:

We show that a simply-connected spin 4-manifold which admits a locally linear involution must have vanishing signature. We also show that the codimensions of all components of the fixed point set of an involution on a spin 4-manifold are the same modulo 4. There is no assumption of local linearity in this result, which extends a lemma of Atiyah and Bott.

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