Editors Douglas, Francis, Henriques, and Hill present students, academics, and mathematicians with a collection of papers that together provide an investigation of the history, aspects, and construction of topological modular forms. The sixteen selections that make up the bulk of the text are organized in two parts. Part one covers a variety of topics, including elliptic genera and elliptic cohomology, elliptic curves and modular forms, the moduli stack of elliptic curves, the Landweber exact functor theorem, sheaves in homotopy theory, the string orientation, Goerss-Hopkins obstruction theory, and others. Part two is comprised of three theoretical essays, pointing toward the future of this field of study. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)
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