The Bredon-Landweber Region in $C_2$-Equivariant Stable Homotopy Groups
Documenta mathematica, Tome 25 (2020), pp. 1865-1880
We use the C2-equivariant Adams spectral sequence to compute part of the C2-equivariant stable homotopy groups πn,nC2. This allows us to recover results of Bredon and Landweber on the image of the geometric fixed-points map πn,nC2→π0. We also recover results of Mahowald and Ravenel on the Mahowald root invariants of the elements 2k.
Classification :
14F42, 55Q45, 55Q91, 55T15
Mots-clés : equivariant stable homotopy group, Mahowald root invariant, Adams spectral sequence
Mots-clés : equivariant stable homotopy group, Mahowald root invariant, Adams spectral sequence
@article{10_4171_dm_787,
author = {Bertrand J. Guillou and Daniel C. Isaksen},
title = {The {Bredon-Landweber} {Region} in $C_2${-Equivariant} {Stable} {Homotopy} {Groups}},
journal = {Documenta mathematica},
pages = {1865--1880},
year = {2020},
volume = {25},
doi = {10.4171/dm/787},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/787/}
}
TY - JOUR AU - Bertrand J. Guillou AU - Daniel C. Isaksen TI - The Bredon-Landweber Region in $C_2$-Equivariant Stable Homotopy Groups JO - Documenta mathematica PY - 2020 SP - 1865 EP - 1880 VL - 25 UR - http://geodesic.mathdoc.fr/articles/10.4171/dm/787/ DO - 10.4171/dm/787 ID - 10_4171_dm_787 ER -
Bertrand J. Guillou; Daniel C. Isaksen. The Bredon-Landweber Region in $C_2$-Equivariant Stable Homotopy Groups. Documenta mathematica, Tome 25 (2020), pp. 1865-1880. doi: 10.4171/dm/787
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