Softcover ISBN:  9780821821398 
Product Code:  MMONO/199 
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AMS Member Price:  $39.20 
Electronic ISBN:  9781470446253 
Product Code:  MMONO/199.E 
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Book DetailsTranslations of Mathematical MonographsIwanami Series in Modern MathematicsVolume: 199; 2001; 185 ppMSC: Primary 57; 55; Secondary 20; 32;
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 characteristic classes of surface bundles.
The book is intended for graduate students and research mathematicians working in various areas of geometry and topology.ReadershipGraduate students and research mathematicians working in geometry.

Table of Contents

Chapters

De Rham homotopy theory

Characteristic classes of flat bundles

Characteristic classes of foliations

Characteristic classes of surface bundles


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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. They include characteristic classes of flat bundles, characteristic classes of foliations, and characteristic classes of surface bundles.
The book is intended for graduate students and research mathematicians working in various areas of geometry and topology.
Graduate students and research mathematicians working in geometry.

Chapters

De Rham homotopy theory

Characteristic classes of flat bundles

Characteristic classes of foliations

Characteristic classes of surface bundles