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Topological Modular Forms
About this Title
Christopher L. Douglas, Oxford University, Oxford, United Kingdom, John Francis, Northwestern University, Evanston, IL, André G. Henriques, Utrecht University, Utrecht, Netherlands and Michael A. Hill, University of Virginia, Charlottesville, VA, Editors
Publication: Mathematical Surveys and Monographs
Publication Year:
2014; Volume 201
ISBNs: 978-1-4704-1884-7 (print); 978-1-4704-2002-4 (online)
DOI: https://doi.org/10.1090/surv/201
Table of Contents
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Front/Back Matter
Part I
- Chapter 1. Corbett Redden – Elliptic genera and elliptic cohomology
- Chapter 2. Carl Mautner – Ellliptic curves and modular forms
- Chapter 3. André G. Henriques – The moduli stack of elliptic curves
- Chapter 4. Henning Hohnhold – The Landweber exact functor theorem
- Chapter 5. Christopher L. Douglas – Sheaves in homotopy theory
- Chapter 6. Tilman Bauer – Bousfield localization and the Hasse square
- Chapter 7. Jacob Lurie – The local structure of the moduli stack of formal groups
- Chapter 8. Vigleik Angeltveit – Goerss–Hopkins obstruction theory
- Chapter 9. Michael J. Hopkins – From spectra to stacks
- Chapter 10. Michael J. Hopkins – The string orientation
- Chapter 11. Michael J. Hopkins – The sheaf of $E_\infty$-ring spectra
- Chapter 12. Mark Behrens – The construction of $tmf$
- Chapter 13. André G. Henriques – The homotopy groups of $tmf$ and of its localizations
Part II
- Michael J. Hopkins and Haynes R. Miller – Ellitpic curves and stable homotopy I
- Michael J. Hopkins and Mark Mahowald – From elliptic curves to homotopy theory
- Michael J. Hopkins – $K(1)$-local $E_\infty$-ring spectra