The Hopf Ring for P(n)

Ravenel, Douglas C. ; Wilson, W. Stephen

Canadian journal of mathematics, Tome 48 (1996) no. 5, pp. 1044-1063

Résumé

We show that , the E-homology of the Ω-spectrum for P(n), is an E* free Hopf ring for E a complex oriented theory with In sent to 0. This covers the cases and . The generators of the Hopf ring are those necessary for the stable result. The motivation for this paper is to show that P(n) satisfies all of the conditions for the machinery of unstable cohomology operations set up in [BJW95]. This can then be used to produce splittings analogous to those for BP done in [Wil75]

Détail

DOI : 10.4153/CJM-1996-054-2

Mots-clés : 55N22, 55N20

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