C2-equivariant and r-motivic stable stems ii

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

doi:10.1090/proc/15167

C2-equivariant and r-motivic stable stems ii

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

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	53-61
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	149
Issue number	1
DOIs	https://doi.org/10.1090/proc/15167
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

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title = "C2-equivariant and r-motivic stable stems ii",

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.",

keywords = "Adams spectral sequence, Equivariant stable homotopy theory, Motivic stable homotopy theory, Stable homotopy group",

author = "EVA BELMONT and GUILLOU, {BERTRAND J.} and ISAKSEN, {DANIEL C.}",

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: {\textcopyright} 2020 American Mathematical Society.",

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AU - GUILLOU, BERTRAND J.

AU - ISAKSEN, DANIEL C.

N1 - 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.

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N2 - 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.

AB - 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.

KW - Adams spectral sequence

KW - Equivariant stable homotopy theory

KW - Motivic stable homotopy theory

KW - Stable homotopy group

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C2-equivariant and r-motivic stable stems ii

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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