The Hopf ring for P (n)
نویسندگان
چکیده
We show that E∗(P (n) ∗), 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 P (q)∗(P (n) ∗) and K(q)∗(P (n) ∗), q ≥ n. 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]. Mathematics Subject Classification Number: Primary: 55N22, Secondary 55N20.
منابع مشابه
THE RING SPECTRUM P ( n ) FOR THE PRIME
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