The homotopy of the K(2)-local Moore spectrum at the prime 3 revisited

In this paper we use the approach introduced in (Goerss et al., Ann Math 162(2):777-822, 2005) in order to analyze the homotopy groups of , the mod- Moore spectrum localized with respect to Morava -theory . These homotopy groups have already been calculated by Shimomura (J Math Soc Japan 52(1): 65-90, 2000). The results are very complicated so that an independent verification via an alternative approach is of interest. In fact, we end up with a result which is more precise and also differs in some of its details from that of Shimomura (J Math Soc Japan 52(1): 65-90, 2000). An additional bonus of our approach is that it breaks up the result into smaller and more digestible chunks which are related to the -localization of the spectrum of topological modular forms and related spectra. Even more, the Adams-Novikov differentials for can be read off from those for TMF .