Geodesic
Mod 2 power operations revisited
Wilson, Dylan1
1 Department of Mathematics, West Virginia University, Morgantown, WV, United States
Algebraic and Geometric Topology, Tome 23 (2023) no. 7, pp. 2993-3014

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

In this mostly expository note we take advantage of homotopical and algebraic advances to give a modern account of power operations on the mod 2 homology of 𝔼∞–ring spectra. The main advance is a quick proof of the Adem relations utilizing the Tate-valued Frobenius as a homotopical incarnation of the total power operation. We also give a streamlined derivation of the action of power operations on the dual Steenrod algebra.

DOI : 10.2140/agt.2023.23.2993
Keywords: power operations, Dyer–Lashof operations, Steenrod algebra, Nishida relations, Adem relations, Tate Frobenius

Wilson, Dylan 1

1 Department of Mathematics, West Virginia University, Morgantown, WV, United States 
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Wilson, Dylan. Mod 2 power operations revisited. Algebraic and Geometric Topology, Tome 23 (2023) no. 7, pp. 2993-3014. doi: 10.2140/agt.2023.23.2993

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