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

8 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

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

General Mathematics
Applied Mathematics

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10.1090/proc/15167

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

year = "2021",

month = jan,

doi = "10.1090/proc/15167",

language = "English",

volume = "149",

pages = "53--61",

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AU - BELMONT, EVA

AU - GUILLOU, BERTRAND J.

AU - ISAKSEN, DANIEL C.

PY - 2021/1

Y1 - 2021/1

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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M3 - Article

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VL - 149

SP - 53

EP - 61

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

C2-equivariant and r-motivic stable stems ii

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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