The homotopy groups of the E(2) local sphere at p > 3 revisited

Details The homotopy groups of the E(2) local sphere at p > 3 revisited The homotopy groups of the E(2) local sphere at p > 3 revisited

2010-02-03

arxiv.org/abs/1002.0807v4

Mathematics

Algebraic Topology

36 pages, 17 figures. Final version to appear in Adv. Math

Scientific paper

We present a new technique for analyzing the v_0-Bockstein spectral sequence studied by Shimomura and Yabe. Employing this technique, we derive a conceptually simpler presentation of the homotopy groups of the E(2)-local sphere for p > 3. We identify and correct some errors in the original Shimomura-Yabe calculation. We deduce the related K(2)-local homotopy groups, and discuss their manifestation of Gross-Hopkins duality.

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