Topological Modular Forms |
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Editor:
| Douglas, Christopher L. Francis, John Henriques, André G. Hill, Michael A. |
Series title: | Mathematical Surveys and Monographs |
ISBN: | 978-1-4704-1884-7 |
Publication Date: | Dec 2014 |
Publisher: | American Mathematical Society
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Book Format: | Hardback |
List Price: | USD $106.00USD $106.00 |
Book Description:
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Provides a careful, accessible introduction to topological modular forms. After a brief history and an extended overview of the subject, the book proper commences with an exposition of classical aspects of elliptic cohomology, including background material on elliptic curves and modular forms, a description of the moduli stack of elliptic curves, an explanation of the exact functor theorem for constructing cohomology theories, and an exploration of sheaves in stable homotopy theory....
More DescriptionProvides a careful, accessible introduction to topological modular forms. After a brief history and an extended overview of the subject, the book proper commences with an exposition of classical aspects of elliptic cohomology, including background material on elliptic curves and modular forms, a description of the moduli stack of elliptic curves, an explanation of the exact functor theorem for constructing cohomology theories, and an exploration of sheaves in stable homotopy theory. There follows a treatment of more specialized topics, including localization of spectra, the deformation theory of formal groups, and Goerss--Hopkins obstruction theory for multiplicative structures on spectra.