Abstract
We show that the stable homotopy groups of the C2-equivariant sphere spectrum and the R-motivic sphere spectrum are isomorphic in a range. This result supersedes previous work of Dugger and the third author.
Original language | English |
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Pages (from-to) | 53-61 |
Number of pages | 9 |
Journal | Proceedings of the American Mathematical Society |
Volume | 149 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2021 |
Bibliographical note
Funding Information:Received by the editors January 29, 2020, and, in revised form, April 27, 2020. 2010 Mathematics Subject Classification. Primary 14F42, 55Q45, 55Q91, 55T15. Key words and phrases. Stable homotopy group, equivariant stable homotopy theory, motivic stable homotopy theory, Adams spectral sequence. The second author was supported by NSF grant DMS-1710379. The third author was supported by NSF grant DMS-1904241.
Publisher Copyright:
© 2020 American Mathematical Society.
Keywords
- Adams spectral sequence
- Equivariant stable homotopy theory
- Motivic stable homotopy theory
- Stable homotopy group
ASJC Scopus subject areas
- Mathematics (all)
- Applied Mathematics