The Bredon-Landweber Region in C2-Equivariant Stable Homotopy Groups

Bertrand J. Guillou; Daniel C. Isaksen

doi:10.25537/dm.2020v25.1865-1880

The Bredon-Landweber Region in C₂-Equivariant Stable Homotopy Groups

Bertrand J. Guillou, Daniel C. Isaksen

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We use the C₂-equivariant Adams spectral sequence to compute part of the C₂-equivariant stable homotopy groups formula presented. This allows us to recover results of Bredon and Landweber on the image of the geometric fixed-points map formula presented. We also recover results of Mahowald and Ravenel on the Mahowald root invariants of the elements 2^k.

Original language	English
Pages (from-to)	1865-1880
Number of pages	16
Journal	Documenta Mathematica
Volume	25
DOIs	https://doi.org/10.25537/dm.2020v25.1865-1880
State	Published - 2020

Bibliographical note

Funding Information:
The first author was supported by NSF grant DMS-1710379. The second author was supported by NSF grant DMS-1202213.

Publisher Copyright:
© 2020, Documenta Mathematica. All Rights Reserved.

Keywords

Adams spectral sequence
Equivariant stable homotopy group
Ma-howald root invariant

ASJC Scopus subject areas

Mathematics (all)

Access to Document

10.25537/dm.2020v25.1865-1880

Cite this

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abstract = "We use the C2-equivariant Adams spectral sequence to compute part of the C2-equivariant stable homotopy groups formula presented. This allows us to recover results of Bredon and Landweber on the image of the geometric fixed-points map formula presented. We also recover results of Mahowald and Ravenel on the Mahowald root invariants of the elements 2k.",

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AU - Isaksen, Daniel C.

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N2 - We use the C2-equivariant Adams spectral sequence to compute part of the C2-equivariant stable homotopy groups formula presented. This allows us to recover results of Bredon and Landweber on the image of the geometric fixed-points map formula presented. We also recover results of Mahowald and Ravenel on the Mahowald root invariants of the elements 2k.

AB - We use the C2-equivariant Adams spectral sequence to compute part of the C2-equivariant stable homotopy groups formula presented. This allows us to recover results of Bredon and Landweber on the image of the geometric fixed-points map formula presented. We also recover results of Mahowald and Ravenel on the Mahowald root invariants of the elements 2k.

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KW - Ma-howald root invariant

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