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arXiv · 1712.09083

The $\alpha$-Family in the $K(2)$-Local Sphere at the Prime $2$

Agnes Beaudry
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Abstract

In this note, we compute the image of the $\alpha$-family in the homotopy of the $K(2)$-local sphere at the prime $p=2$ by locating its image in the algebraic duality spectral sequence. This is a stepping stone for the computation of the homotopy groups of the $K(2)$-local sphere at the prime $2$ using the duality spectral sequences.

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Agnes Beaudry. 2017-12-25. The $\alpha$-Family in the $K(2)$-Local Sphere at the Prime $2$. https://arxiv.org/abs/1712.09083

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