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Stable Homotopy Theory, Formal Group Laws, and Integer-Valued Polynomials

In: Commutative Algebra

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  • Keith Johnson

    (Dalhousie University, Department of Mathematics)

Abstract

In this survey we describe some ways in which algebras of integer-valued polynomials arise in stable homotopy theory and in the study of formal group laws. For several generalized homology theories certain values of the theories have a natural description as such algebras and since these values are the ones arising in the construction of the Adams-Novikov spectral sequence for computing stable homotopy groups these algebras and their homological properties are of considerable interest.

Suggested Citation

  • Keith Johnson, 2014. "Stable Homotopy Theory, Formal Group Laws, and Integer-Valued Polynomials," Springer Books, in: Marco Fontana & Sophie Frisch & Sarah Glaz (ed.), Commutative Algebra, edition 127, pages 213-223, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4939-0925-4_12
    DOI: 10.1007/978-1-4939-0925-4_12
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