**Translations of Mathematical Monographs
Iwanami Series in Modern Mathematics**

2001; 185 pp; Softcover

MSC: Primary 57; 55; Secondary 20; 32

**Print ISBN: 978-0-8218-2139-8**

Product Code: MMONO/199

Product Code: MMONO/199

List Price: $49.00

AMS Member Price: $39.20

MAA Member Price: $44.10

**Electronic ISBN: 978-1-4704-4625-3
Product Code: MMONO/199.E**

List Price: $46.00

AMS Member Price: $36.80

MAA Member Price: $41.40

# Geometry of Characteristic Classes

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*Shigeyuki Morita*

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.

#### Readership

Graduate students and research mathematicians working in geometry.

#### Table of Contents

# Table of Contents

## Geometry of Characteristic Classes

- Cover Cover11
- Title page iii4
- Contents v6
- Preface to the English edition vii8
- Preface ix10
- Summary and purpose of this volume xi12
- De Rham homotopy theory 116
- Characteristic classes of flat bundles 4964
- Characteristic classes of foliations 87102
- Characteristic classes of surface bundles 135150
- Directions and problems for future research 175190
- Bibliography 179194
- Index 183198
- Back Cover Back Cover1202