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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Da: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlanda
Condizione: New. Editor(s): Douglas, Christopher L.; Francis, John; Henriques, Andre G.; Hill, Michael A. Series: Mathematical Surveys and Monographs. Num Pages: 315 pages, illustrations. BIC Classification: PBF; PBM; PBP. Category: (G) General (US: Trade). Dimension: 254 x 178. . . 2014. hardcover. . . . . Codice articolo V9781470418847
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Hardcover. Condizione: Brand New. 318 pages. 10.25x7.25x1.00 inches. In Stock. Codice articolo __1470418843
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Da: Rarewaves.com USA, London, LONDO, Regno Unito
Hardback. Condizione: New. The theory of topological modular forms is an intricate blend of classical algebraic modular forms and stable homotopy groups of spheres. The construction of this theory combines an algebro-geometric perspective on elliptic curves over finite fields with techniques from algebraic topology, particularly stable homotopy theory. It has applications to and connections with manifold topology, number theory, and string theory. This book 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. 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. The book then proceeds to more advanced material, including discussions of the string orientation, the sheaf of spectra on the moduli stack of elliptic curves, the homotopy of topological modular forms, and an extensive account of the construction of the spectrum of topological modular forms. The book concludes with the three original, pioneering and enormously influential manuscripts on the subject, by Hopkins, Miller, and Mahowald. Codice articolo LU-9781470418847
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Da: Kennys Bookstore, Olney, MD, U.S.A.
Condizione: New. Editor(s): Douglas, Christopher L.; Francis, John; Henriques, Andre G.; Hill, Michael A. Series: Mathematical Surveys and Monographs. Num Pages: 315 pages, illustrations. BIC Classification: PBF; PBM; PBP. Category: (G) General (US: Trade). Dimension: 254 x 178. . . 2014. hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9781470418847
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Da: GreatBookPricesUK, Woodford Green, Regno Unito
Condizione: As New. Unread book in perfect condition. Codice articolo 22090762
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