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arXiv · 1908.01904

On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$

Dominic Leon Culver·Paul VanKoughnett
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Abstract

As a step towards understanding the $\mathrm{tmf}$-based Adams spectral sequence, we compute the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$, using a small presentation of $L_{K(1)}\mathrm{tmf}$ due to Hopkins. We also describe the $K(1)$-local $\mathrm{tmf}$-based Adams spectral sequence.

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BibTeXRIS

Dominic Leon Culver, Paul VanKoughnett. 2019-08-05. On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$. https://arxiv.org/abs/1908.01904

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