C2-equivariant and r-motivic stable stems ii

EVA BELMONT, BERTRAND J. GUILLOU, DANIEL C. ISAKSEN

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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 languageEnglish
Pages (from-to)53-61
Number of pages9
JournalProceedings of the American Mathematical Society
Volume149
Issue number1
DOIs
StatePublished - 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

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