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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Localizing equivariant bordism
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by E. R. Wheeler
Proc. Amer. Math. Soc. 44 (1974), 485-491
DOI: https://doi.org/10.1090/S0002-9939-1974-0345122-3

Abstract:

The unitary bordism of a finite group is computed up to torsion and an equivariant Rohlin exact sequence is exhibited for groups of odd order.
References
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  • P. E. Connor and E. E. Floyd, Differentiable periodic maps, Ergebnisse der Math. und ihrer Grenzgebiete, Band 33, Springer-Verlag, Berlin; Academic Press, New York, 1964. MR 31 #750. E. E. Floyd, Periodic maps via Smith theory, Ann. of Math. Studies, no. 46, Chapter III, Princeton Univ. Press, Princeton, N.J., 1960.
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  • R. E. Stong, Complex and oriented equivariant bordism, Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens, Ga., 1969) Markham, Chicago, Ill., 1970, pp. 291–316. MR 0273644
  • Robert E. Stong, Notes on cobordism theory, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. Mathematical notes. MR 0248858
  • R. E. Stong, Unoriented bordism and actions of finite groups, Memoirs of the American Mathematical Society, No. 103, American Mathematical Society, Providence, R.I., 1970. MR 0273645
  • E. R. Wheeler, The oriented bordism of cyclic groups, Dissertation, University of Virginia, Charlottesville, Va., 1973.
  • Joseph A. Wolf, Spaces of constant curvature, McGraw-Hill Book Co., New York-London-Sydney, 1967. MR 0217740
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 44 (1974), 485-491
  • MSC: Primary 57D85; Secondary 55B25
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0345122-3
  • MathSciNet review: 0345122