𝐶₂-equivariant and ℝ-motivic stable stems II

Author:

Belmont Eva,Guillou Bertrand,Isaksen Daniel

Abstract

We show that the stable homotopy groups of the C 2 C_2 -equivariant sphere spectrum and the R \mathbb {R} -motivic sphere spectrum are isomorphic in a range. This result supersedes previous work of Dugger and the third author.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

1. ℝ-motivic stable stems;Belmont, Eva,2020

2. The motivic Adams spectral sequence;Dugger, Daniel;Geom. Topol.,2010

3. Low-dimensional Milnor-Witt stems over ℝ;Dugger, Daniel;Ann. K-Theory,2017

4. ℤ/2-equivariant and ℝ-motivic stable stems;Dugger, Daniel;Proc. Amer. Math. Soc.,2017

5. The special fiber of the motivic deformation of the stable homotopy category is algebraic;Gheorghe, Bogdan;Acta. Math.

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1. ℝ-motivic v1-periodic homotopy;Pacific Journal of Mathematics;2024-07-22

2. Ranks of ()-graded stable homotopy groups of spheres for finite groups;Proceedings of the American Mathematical Society, Series B;2023-04-03

3. R$\mathbb {R}$‐motivic stable stems;Journal of Topology;2022-07-27

4. $kq$-resolutions I;Transactions of the American Mathematical Society;2021-04-20

5. Real motivic and C2‐equivariant Mahowald invariants;Journal of Topology;2021-03-18

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