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Combinatorial and arithmetic identities based on formal group laws

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Algebraic Topology Barcelona 1986

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1298))

Abstract

We define generalised Bernoulli and Stirling numbers based on a formal group law, and investigate some of their properties; in particular we give analogues of the classical "Kummer congruences". As a sample application we use these to compute some products and Massey products in the cohomology of a certain universal "Hopf algebroid", which arises in algebraic topology as the Adams-Novikov E2-term.

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References

  1. J.F. Adams, "On the groups J(X) — IV", Topology 5 (1966) 21–71.

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Author information

Authors and Affiliations

  1. Mathematics Department, Manchester University, M13 9PL, Manchester, U.K.

    Andrew Baker

Authors
  1. Andrew Baker
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Editor information

J. Aguadé R. Kane

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© 1987 Springer-Verlag

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Baker, A. (1987). Combinatorial and arithmetic identities based on formal group laws. In: Aguadé, J., Kane, R. (eds) Algebraic Topology Barcelona 1986. Lecture Notes in Mathematics, vol 1298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082998

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  • DOI: https://doi.org/10.1007/BFb0082998

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18729-5

  • Online ISBN: 978-3-540-48122-5

  • eBook Packages: Springer Book Archive

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