Translations of Mathematical Monographs Iwanami Series in Modern Mathematics 2001; 185 pp; softcover Volume: 199 ISBN10: 0821821393 ISBN13: 9780821821398 List Price: US$43 Member Price: US$34.40 Order Code: MMONO/199
 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  De Rham homotopy theory
 Characteristic classes of flat bundles
 Characteristic classes of foliations
 Characteristic classes of surface bundles
 Directions and problems for future research
 Bibliography
 Index
