The Bredon-Landweber Region in $C_2$-Equivariant Stable Homotopy Groups
Documenta mathematica, Tome 25 (2020), pp. 1865-1880
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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.
DOI : 10.4171/dm/787
Classification : 14F42, 55Q45, 55Q91, 55T15
Mots-clés : equivariant stable homotopy group, Mahowald root invariant, Adams spectral sequence
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     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/}
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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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