The Bredon-Landweber Region in C2C_2-Equivariant Stable Homotopy Groups

  • Bertrand J. Guillou

    Department of Mathematics, University of Kentucky, Lexington, KY 40506, USA
  • Daniel C. Isaksen

    Department of Mathematics, Wayne State University, Detroit, MI 48202, USA
The Bredon-Landweber Region in $C_2$-Equivariant Stable Homotopy Groups cover
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Abstract

We use the C2C_2-equivariant Adams spectral sequence to compute part of the C2C_2-equivariant stable homotopy groups πn,nC2\pi^{C_2}_{n,n}. This allows us to recover results of Bredon and Landweber on the image of the geometric fixed-points map πn,nC2π0\pi^{C_2}_{n,n} \rightarrow \pi_0. We also recover results of Mahowald and Ravenel on the Mahowald root invariants of the elements 2k2^k.

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Bertrand J. Guillou, Daniel C. Isaksen, The Bredon-Landweber Region in C2C_2-Equivariant Stable Homotopy Groups. Doc. Math. 25 (2020), pp. 1865–1880

DOI 10.4171/DM/787