Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

$ 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
Full-text PDF

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 14F42, 55Q45, 55Q91, 55T15

Retrieve articles in all journals with MSC (2010): 14F42, 55Q45, 55Q91, 55T15


Additional Information

Eva Belmont
Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email: ebelmont@northwestern.edu

Bertrand J. Guillou
Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
Email: bertguillou@uky.edu

Daniel C. Isaksen
Affiliation: Department of Mathematics, Wayne State University, Detroit, Michigan 48202
Email: isaksen@wayne.edu

DOI: https://doi.org/10.1090/proc/15167
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