$C_2$-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
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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