%0 Journal Article %T The homotopy groups of the spectrum Tmf %A Johan Konter %J Mathematics %D 2012 %I arXiv %X We use the structure of the homotopy groups of the connective spectrum tmf of topological modular forms and the elliptic and Adams-Novikov spectral sequences to compute the homotopy groups of the non-connective version, Tmf, of that spectrum. This is done separately for the localizations at 2, 3 and higher primes. %U http://arxiv.org/abs/1212.3656v1