Geometry of characteristic classes

Geometry of characteristic classes

by Morita, Shigeyuki

Type Book
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Characteristic classes are central to the modern study of the topology and geometry of manifolds. They were first introduced in topology, where, for instance, they could be used to define obstructions to the existence of certain fiber bundles. Characteristic classes were later defined using connections on vector bundles, thus revealing their geometric side. The purpose of this book is to introduce the reader to the three theories of characteristic classes that were developed in the late 1960s. …

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Title Statements

  • Full title :Geometry of characteristic classes / Shigeyuki Morita ; [translated from the Japanese by the author].

Summary

Characteristic classes are central to the modern study of the topology and geometry of manifolds. They were first introduced in topology, where, for instance, they could be used to define obstructions to the existence of certain fiber bundles. Characteristic classes were later defined using connections on vector bundles, thus revealing their geometric side. The purpose of this book is to introduce the reader to the three theories of characteristic classes that were developed in the late 1960s. They include characteristic classes of flat bundles, characteristic classes of foliations, and charac.

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Edition Statements

  • Publication Date:©2001.

Publication Statements

The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9781470446253, 1470446251
  • oclc:on1031918817
  • LC Classification:QA613.618.M67 2001
  • Dewey Decimal:514/.72

Subjects

Characteristic classes Classes caractéristiques

Writers

Morita, Shigeyuki

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