**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: $46.00

Individual Member Price: $36.80

# 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.