The Modulo Two Homotopy Groups of the ð¿â‚‚-Localization of the Ravenel Spectrum

Ippei Ichigi; Katsumi Shimomura

The Modulo Two Homotopy Groups of the ð¿â‚‚-Localization of the Ravenel Spectrum

Ippei Ichigi 95sm004@math.kochi-u.ac.jp
Katsumi Shimomura katsumi@math.kochi-u.ac.jp

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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^âˆ’1 BP. In this paper, we determine the homotopy groups Ï€_âˆ—(L₂T(m) : â„¤/2) = [M₂, L₂T(m)]_âˆ— 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 ð¿â‚‚-Localization of the Ravenel Spectrum”, CUBO, vol. 10, no. 3, pp. 43–55, Oct. 2008.