论文标题

频谱序列的总功率操作

Total power operations in spectral sequences

论文作者

Balderrama, William

论文摘要

我们描述了电源操作如何通过同质限制频谱序列下降。我们将其应用于描述$ C_2 $ Equivariant Adams频谱序列中的规范,以计算$π_0$的$π_0$ equivariant $ ku $ $ local-local-local sphere,并计算$ k(1)$ - 本地领域的功率操作。附录包含有关bousfield本地化的材料,这些材料可能具有独立感兴趣。

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 $π_0$ 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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