Skip to Main Content

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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A comment on the Novikov conjecture
HTML articles powered by AMS MathViewer

by Jerome Kaminker and John G. Miller PDF
Proc. Amer. Math. Soc. 83 (1981), 656-658 Request permission

Abstract:

It is shown that the Novikov conjecture on the homotopy invariance of characteristic numbers of nonsimply connected manifolds is equivalent to the injectivity of Wall’s map from homology of groups to the surgery obstruction groups. These statements are then shown to be equivalent to their analogs for rational equivalences of rational homology manifolds.
References
  • Gerald A. Anderson, Surgery on $\Lambda$-homology manifolds, Illinois J. Math. 24 (1980), no. 4, 653–675. MR 586804
  • Ronald G. Douglas, $C^{\ast }$-algebra extensions and $K$-homology, Annals of Mathematics Studies, No. 95, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1980. MR 571362
  • P. E. Conner and E. E. Floyd, Differentiable periodic maps, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 33, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1964. MR 0176478
  • John W. Morgan and Dennis P. Sullivan, The transversality characteristic class and linking cycles in surgery theory, Ann. of Math. (2) 99 (1974), 463–544. MR 350748, DOI 10.2307/1971060
  • Andrew Ranicki, Localization in quadratic $L$-theory, Algebraic topology, Waterloo, 1978 (Proc. Conf., Univ. Waterloo, Waterloo, Ont., 1978) Lecture Notes in Math., vol. 741, Springer, Berlin, 1979, pp. 102–157. MR 557165
  • C. T. C. Wall, Surgery on compact manifolds, London Mathematical Society Monographs, No. 1, Academic Press, London-New York, 1970. MR 0431216
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57R67, 55R40
  • Retrieve articles in all journals with MSC: 57R67, 55R40
Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 83 (1981), 656-658
  • MSC: Primary 57R67; Secondary 55R40
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0627714-0
  • MathSciNet review: 627714