The Brown-Comenetz dual of the K(2)-local sphere at the prime 3

Paul G. Goerss; Hans-Werner Henn

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arXiv · 1212.2836

The Brown-Comenetz dual of the K(2)-local sphere at the prime 3

Paul G. Goerss·Hans-Werner Henn

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Abstract

We calculate the homotopy type of the Brown-Comenetz dual $I_2$ of the K(2)-local sphere at the prime 3 and show that there is a twisting by a non-trivial element $P$ in the exotic part of the Picard group. We give a complete characterization of $P$ as well. The main technique is to give a sequence of calculations of the homotopy groups of elements of the Picard group after smashing with the Smith-Toda complex V(1).

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BibTeX RIS

Paul G. Goerss, Hans-Werner Henn. 2012-12-12. The Brown-Comenetz dual of the K(2)-local sphere at the prime 3. https://arxiv.org/abs/1212.2836

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