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Computation of the homotopy of the spectrum \texttt{tmf}
2008
Geometry and Topology Monographs
unpublished
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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
doi:10.2140/gtm.2008.13.11
fatcat:xkelrgmdanagrbc7kbi2g5isae