| Softcover ISBN: | 978-0-8218-2139-8 |
| Product Code: | MMONO/199 |
| List Price: | $49.00 |
| MAA Member Price: | $44.10 |
| AMS Member Price: | $39.20 |
| Electronic ISBN: | 978-1-4704-4625-3 |
| Product Code: | MMONO/199.E |
| List Price: | $46.00 |
| MAA Member Price: | $41.40 |
| AMS Member Price: | $36.80 |
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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.
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Table of Contents
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Chapters
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De Rham homotopy theory
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Characteristic classes of flat bundles
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Characteristic classes of foliations
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Characteristic classes of surface bundles
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Additional Material
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RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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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
