On the K(1)-local homotopy of $$\mathrm {tmf}\wedge \mathrm {tmf}$$
AbstractAs a step towards understanding the $$\mathrm {tmf}$$ tmf -based Adams spectral sequence, we compute the K(1)-local homotopy of $$\mathrm {tmf}\wedge \mathrm {tmf}$$ tmf ∧ tmf , using a small presentation of $$L_{K(1)}\mathrm {tmf}$$ L K ( 1 ) tmf due to Hopkins. We also describe the K(1)-local $$\mathrm {tmf}$$ tmf -based Adams spectral sequence.
1999 ◽
Vol 42
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pp. 129-138
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1987 ◽
Vol 101
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pp. 477-485
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2016 ◽
pp. 429-494
1993 ◽
pp. 479-481