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.
| Original language | English |
|---|---|
| Pages (from-to) | 1865-1880 |
| Number of pages | 16 |
| Journal | Documenta Mathematica |
| Volume | 25 |
| DOIs | |
| State | Published - 2020 |
Bibliographical note
Publisher Copyright:© 2020, Documenta Mathematica. All Rights Reserved.
Funding
The first author was supported by NSF grant DMS-1710379. The second author was supported by NSF grant DMS-1202213.
| Funders | Funder number |
|---|---|
| U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China | 1710379, DMS-1710379, 1202213 |
| Fundação para a Ciência e Tecnologia I.P. | PTDC/CCI-BIO/29266/2017 |
Keywords
- Adams spectral sequence
- Equivariant stable homotopy group
- Ma-howald root invariant
ASJC Scopus subject areas
- General Mathematics