$C_2$-equivariant and $\mathbb {R}$-motivic stable stems II
Authors:
Eva Belmont, Bertrand J. Guillou and Daniel C. Isaksen
Journal:
Proc. Amer. Math. Soc. 149 (2021), 53-61
MSC (2010):
Primary 14F42, 55Q45, 55Q91, 55T15
DOI:
https://doi.org/10.1090/proc/15167
Published electronically:
October 16, 2020
MathSciNet review:
4172585
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Abstract | References | Similar Articles | Additional Information
Abstract: We show that the stable homotopy groups of the $C_2$-equivariant sphere spectrum and the $\mathbb {R}$-motivic sphere spectrum are isomorphic in a range. This result supersedes previous work of Dugger and the third author.
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Additional Information
Eva Belmont
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois 60208
MR Author ID:
947034
Email:
ebelmont@northwestern.edu
Bertrand J. Guillou
Affiliation:
Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
MR Author ID:
682731
Email:
bertguillou@uky.edu
Daniel C. Isaksen
Affiliation:
Department of Mathematics, Wayne State University, Detroit, Michigan 48202
MR Author ID:
611825
Email:
isaksen@wayne.edu
Keywords:
Stable homotopy group,
equivariant stable homotopy theory,
motivic stable homotopy theory,
Adams spectral sequence
Received by editor(s):
January 29, 2020
Received by editor(s) in revised form:
April 27, 2020
Published electronically:
October 16, 2020
Additional Notes:
The second author was supported by NSF grant DMS-1710379.
The third author was supported by NSF grant DMS-1904241.
Article copyright:
© Copyright 2020
American Mathematical Society
