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Computation of the homotopy of the spectrum tmf

Tilman Bauer
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Abstract

This paper contains a complete computation of the homotopy ring of the spectrum of topological modular forms constructed by Hopkins and Miller. The computation is done away from 6, and at the (interesting) primes 2 and 3 separately, and in each of the latter two cases, a sequence of algebraic Bockstein spectral sequences is used to compute the E_2 term of the elliptic Adams-Novikov spectral sequence from the elliptic curve Hopf algebroid. In a further step, all the differentials in the latter spectral sequence are determined. The result of this computation is originally due to Hopkins and Mahowald (unpublished).

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Tilman Bauer. 2009-04-02. Computation of the homotopy of the spectrum tmf. https://doi.org/10.2140/gtm.2008.13.11

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