Chapter

Commutative Algebra

pp 213-223

Date:

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

  • Keith JohnsonAffiliated withDepartment of Mathematics, Dalhousie University Email author 

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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.

Keywords

Integer-valued polynomial Stable homotopy theory Formal group law Hopf algebroid Adams-Novikov spectral sequence

MSC(2010) classification:

[2010]16S36 (13F20,11C08)