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The Adams Spectral Sequence for Topological Modular Forms Lisa Waddington Like most of usThe 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
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