The Modulo Two Homotopy Groups of the 𝐿₂-Localization of the Ravenel Spectrum

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Abstract

The Ravenel spectra T(m) for non-negative integers m interpolate between the sphere spectrum and the Brown-Peterson spectrum. Let L2 denote the Bousfield-Ravenel localization functor with respect to v2−1 BP. In this paper, we determine the homotopy groups π∗(L2T(m) : ℤ/2) = [M2, L2T(m)]∗ for m > 1, where M2 denotes the modulo two Moore spectrum.

Keywords

homotopy groups , Bousfield-Ravenel localization , Ravenel spectrum
  • Ippei Ichigi Department of Mathematics, Faculty of Science, Kochi University, Kochi, 780-8520, Japan.
  • Katsumi Shimomura Department of Mathematics, Faculty of Science, Kochi University, Kochi, 780-8520, Japan.
  • Pages: 43–55
  • Date Published: 2008-10-01
  • Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal

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Published

2008-10-01

How to Cite

[1]
I. Ichigi and K. Shimomura, “The Modulo Two Homotopy Groups of the 𝐿₂-Localization of the Ravenel Spectrum”, CUBO, vol. 10, no. 3, pp. 43–55, Oct. 2008.