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

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

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...

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Veröffentlicht in:	arXiv.org 2019-08
Hauptverfasser:	Dominic Leon Culver, VanKoughnett, Paul
Format:	Artikel
Sprache:	eng
Schlagworte:	Wedges
Online-Zugang:	Volltext
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Zusammenfassung:	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.
ISSN:	2331-8422

Zusammenfassung:	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.
ISSN:	2331-8422

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