Total power operations in spectral sequences

William Balderrama

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arXiv · 2205.07409

Total power operations in spectral sequences

William Balderrama

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Abstract

We describe how power operations descend through homotopy limit spectral sequences. We apply this to describe how norms appear in the $C_2$-equivariant Adams spectral sequence, to compute norms on $\pi_0$ of the equivariant $KU$-local sphere, and to compute power operations for the $K(1)$-local sphere. An appendix contains material on equivariant Bousfield localizations which may be of independent interest.

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William Balderrama. 2022-05-16. Total power operations in spectral sequences. https://arxiv.org/abs/2205.07409

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