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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: 713
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
Modular Forms
Language: en
Pages: 714
Authors: Henri Cohen
Categories: Mathematics
Type: BOOK - Published: 2017-08-02 - Publisher: American Mathematical Soc.

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The theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and “fun” subject in itself and
Geometric Modular Forms and Elliptic Curves
Language: en
Pages: 468
Authors: Haruzo Hida
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: World Scientific

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This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The cons