The Adams Spectral Sequence for Topological Modular Forms

The connective topological modular forms spectrum, \(tmf\), is in a sense initial among elliptic spectra, and as such is an important link between the homotopy groups of spheres and modular forms. A primary goal of this volume is to give a complete account, with full proofs, of the homotopy of \(tmf\) and several \(tmf\)-module spectra by means of the classical Adams spectral sequence, thus verifying, correcting, and extending existing approaches. In the process, folklore results are made pre…