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.

中文翻译：

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关于 $$\mathrm {tmf}\wedge \mathrm {tmf}$$ tmf ∧ tmf 的 K(1)-局部同伦

作为理解基于\(\mathrm {tmf}\)的 Adams 谱序列的一步，我们计算\(\mathrm {tmf}\wedge \mathrm {tmf}\)的K (1)-局部同伦，使用由于霍普金斯，\(L_{K(1)}\mathrm {tmf}\)的小介绍。我们还描述了基于K (1)-local \(\mathrm {tmf}\)的 Adams 谱序列。