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Proceedings of the American Mathematical Society

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Manifolds with involution whose fixed set has codimension four


Author: Frank L. Capobianco
Journal: Proc. Amer. Math. Soc. 61 (1976), 157-162
MSC: Primary 57D85; Secondary 57E15
DOI: https://doi.org/10.1090/S0002-9939-1976-0425992-2
MathSciNet review: 0425992
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Abstract: Necessary and sufficient conditions are given for an $ n$-manifold to be cobordant to a manifold admitting an involution whose fixed set is $ (n - 4)$-dimensional.


References [Enhancements On Off] (What's this?)

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  • [2] -, Differentiable periodic maps, Academic Press, New York; Springer-Verlag, Berlin, 1964. MR 31 #750.
  • [3] R. E. Stong, On fibering of cobordism classes, Trans. Amer. Math. Soc. 178 (1973), 431-447. MR 47 #4282. MR 0315733 (47:4282)
  • [4] R. Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17-86. MR 15, 890. MR 0061823 (15:890a)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0425992-2
Article copyright: © Copyright 1976 American Mathematical Society

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