Topological modular forms

Topological modular forms

by Douglas, Christopher L. Francis, John Henriques, André G., (André Gil) Hill, Michael A., (Michael Anthony)

Type Book
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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 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 modul…

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Title Statements

  • Full title :Topological modular forms / Christopher L. Douglas, John Francis, Andre G. Henriques, Michael A. Hill, editors.

Summary

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 wi.

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Edition Statements

  • Publication Date:©2014

Publication Statements

The Physical Object

  • Description:1 online resource (xxxi, 318 pages) : : illustrations

Edition Identifiers

  • ISBN:9781470420024, 1470420023
  • oclc:ocn907375658
  • LC Classification:QA611
  • Dewey Decimal:514/.23

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