Topological modular forms /

510MS
Am512

135874

Topological modular forms / [edited by] Christopher L. Douglas...[et al.]. - Providence : American Mathematical Society, c2014.
xxxi, 318 p. : illustrations ; 26 cm. - (Mathematical surveys and monographs ; v 201.) Content notes : Part I
1. Elliptic genera and elliptic cohomology by C. Redden--
2. Ellliptic curves and modular forms by C. Mautner--
3. The moduli stack of elliptic curves by A. Henriques--
4. The Landweber exact functor theorem by H. Hohnhold--
5. Sheaves in homotopy theory by C. L. Douglas--
6. Bousfield localization and the Hasse square by T. Bauer--
7. The local structure of the moduli stack of formal groups by J. Lurie--
8. Goerss-Hopkins obstruction theory by V. Angeltveit--
9. From spectra to stacks by M. Hopkins--
10. The string orientation by M. Hopkins--
11. The sheaf of E ring spectra by M. Hopkins--
12. The construction of tmf by M. Behrens--
13. The homotopy groups of tmf and of its localizations by A. Henriques--

Part II
Ellitpic curves and stable homotopy I by M. J. Hopkins and H. R. Miller--
From elliptic curves to homotopy theory by M. Hopkins and M. Mahowald
K(1)-local E ring spectra by M. J. Hopkins--
Glossary. 9781470418847 (alk. paper) * Topological fields. Algebraic fields. Elliptic Curves. Algebraic topology -- Homology and cohomology theories -- Elliptic cohomology. * Douglas, Christopher L.,Francis, John,Henriques, Andre G.,Hill, Michael A., * Title * Series