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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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A note on the $bP$-component of $(4n-1)$-dimensional homotopy spheres
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by Stephan Stolz
Proc. Amer. Math. Soc. 99 (1987), 581-584
DOI: https://doi.org/10.1090/S0002-9939-1987-0875404-7

Abstract:

The $bP$-component of a $\left ( {4n - 1} \right )$-dimensional homotopy sphere $\Sigma \in {\theta _{4n - 1}} \cong b{P_{4n}} \oplus {\left ( {{\text {Co}}\ker J} \right )_{4n - 1}}$ bounding a spin manifold $M$ is shown to be computable in terms of the signature and the decomposable Pontrjagin numbers of $M$.
References
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Bibliographic Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 99 (1987), 581-584
  • MSC: Primary 57R60; Secondary 57R20, 57R55
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0875404-7
  • MathSciNet review: 875404