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＜E-Book＞
Topological modular forms / Christopher L. Douglas, John Francis, Andre G. Henriques, Michael A. Hill, editors
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 201)

Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2014]
Size	1 online resource (xxxi, 318 pages : illustrations)
Authors	Douglas, Christopher L. editor Francis, John 1982- editor Henriques, Andr�e G 1977- editor Hill, Michael A editor
Subjects	LCSH:Topological fields LCSH:Algebraic fields LCSH:Curves, Elliptic FREE:Algebraic topology -- Homology and cohomology theories -- Elliptic cohomology  All Subject Search FREE:Algebraic topology -- Homology and cohomology theories -- Other homology theories  All Subject Search FREE:Algebraic topology -- Homology and cohomology theories -- Bordism and cobordism theories, formal group laws  All Subject Search FREE:Manifolds and cell complexes -- Differential topology -- Complex cobordism ($  All Subject Search FREE:Algebraic topology -- Spectral sequences -- General  All Subject Search FREE:Algebraic topology -- Spectral sequences -- Adams spectral sequences  All Subject Search FREE:Category theory; homological algebra -- Homological algebra -- Spectral sequences, hypercohomology  All Subject Search FREE:Algebraic geometry -- Curves -- Elliptic curves  All Subject Search FREE:Algebraic geometry -- Families, fibrations -- Stacks and moduli problems  All Subject Search
Contents	Chapter 1. Elliptic genera and elliptic cohomology / Corbett Redden Chapter 2. Ellliptic curves and modular forms / Carl Mautner Chapter 3. The moduli stack of elliptic curves / Andr�e G. Henriques Chapter 4. The Landweber exact functor theorem / Henning Hohnhold Chapter 5. Sheaves in homotopy theory / Christopher L. Douglas Chapter 6. Bousfield localization and the Hasse square / Tilman Bauer Chapter 7. The local structure of the moduli stack of formal groups / Jacob Lurie Chapter 8. Goerss-Hopkins obstruction theory / Vigleik Angeltveit Chapter 9. From spectra to stacks / Michael J. Hopkins Chapter 10. The string orientation / Michael J. Hopkins Chapter 11. The sheaf of $E_\infty $-ring spectra / Michael J. Hopkins Chapter 12. The construction of $\mathit {tmf}$ / Mark Behrens Chapter 13. The homotopy groups of $\mathit {tmf}$ and of its localizations / Andr�e G. Henriques Ellitpic curves and stable homotopy I / Michael J. Hopkins and Haynes R. Miller From elliptic curves to homotopy theory / Michael J. Hopkins and Mark Mahowald $K(1)$-local $E_\infty $-ring spectra / Michael J. Hopkins
Notes	Includes bibliographical references http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/01 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/02 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/03 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/04 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/05 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/06 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/07 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/08 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/09 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/10 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/11 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/12 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/13 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/14 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/15 http://www.ams.org/surv/201 https://doi.org/10.1090/surv/201/16 Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2014 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/201 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/201 Information=Contents

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