Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$C_2$-equivariant and $\mathbb {R}$-motivic stable stems II
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by Eva Belmont, Bertrand J. Guillou and Daniel C. Isaksen
Proc. Amer. Math. Soc. 149 (2021), 53-61
DOI: https://doi.org/10.1090/proc/15167
Published electronically: October 16, 2020

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.
References
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Bibliographic 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
  • 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.
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 53-61
  • MSC (2010): Primary 14F42, 55Q45, 55Q91, 55T15
  • DOI: https://doi.org/10.1090/proc/15167
  • MathSciNet review: 4172585