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Topological Modular Forms
Language: en
Pages: 353
Authors: Christopher L. Douglas
Categories: Mathematics
Type: BOOK - Published: 2014-12-04 - Publisher: American Mathematical Soc.

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The theory of topological modular forms is an intricate blend of classical algebraic modular forms and stable homotopy groups of spheres. The construction of th
The Adams Spectral Sequence for Topological Modular Forms
Language: en
Pages: 690
Authors: Robert R. Bruner
Categories: Education
Type: BOOK - Published: 2021-09-30 - Publisher: American Mathematical Soc.

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The connective topological modular forms spectrum, tmf, is in a sense initial among elliptic spectra, and as such is an important link between the homotopy grou
Modular Forms, a Computational Approach
Language: en
Pages: 290
Authors: William A. Stein
Categories: Mathematics
Type: BOOK - Published: 2007-02-13 - Publisher: American Mathematical Soc.

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This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introducto
Manifolds and Modular Forms
Language: en
Pages: 216
Authors: Friedrich Hirzebruch
Categories: Technology & Engineering
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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This book provides a comprehensive introduction to the theory of elliptic genera due to Ochanine, Landweber, Stong, and others. The theory describes a new cobor
Some Applications of Modular Forms
Language: en
Pages: 124
Authors: Peter Sarnak
Categories: Mathematics
Type: BOOK - Published: 1990-11-15 - Publisher: Cambridge University Press

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The theory of modular forms and especially the so-called 'Ramanujan Conjectures' have been applied to resolve problems in combinatorics, computer science, analy