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Geometry of Characteristic Classes
 
Shigeyuki Morita Tokyo Institute of Technology, Tokyo, Japan
Geometry of Characteristic Classes
Softcover ISBN:  978-0-8218-2139-8
Product Code:  MMONO/199
List Price: $52.00
MAA Member Price: $46.80
AMS Member Price: $41.60
eBook ISBN:  978-1-4704-4625-3
Product Code:  MMONO/199.E
List Price: $49.00
MAA Member Price: $44.10
AMS Member Price: $39.20
Softcover ISBN:  978-0-8218-2139-8
eBook: ISBN:  978-1-4704-4625-3
Product Code:  MMONO/199.B
List Price: $101.00 $76.50
MAA Member Price: $90.90 $68.85
AMS Member Price: $80.80 $61.20
Geometry of Characteristic Classes
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Geometry of Characteristic Classes
Shigeyuki Morita Tokyo Institute of Technology, Tokyo, Japan
Softcover ISBN:  978-0-8218-2139-8
Product Code:  MMONO/199
List Price: $52.00
MAA Member Price: $46.80
AMS Member Price: $41.60
eBook ISBN:  978-1-4704-4625-3
Product Code:  MMONO/199.E
List Price: $49.00
MAA Member Price: $44.10
AMS Member Price: $39.20
Softcover ISBN:  978-0-8218-2139-8
eBook ISBN:  978-1-4704-4625-3
Product Code:  MMONO/199.B
List Price: $101.00 $76.50
MAA Member Price: $90.90 $68.85
AMS Member Price: $80.80 $61.20
  • Book Details
     
     
    Translations of Mathematical Monographs
    Iwanami Series in Modern Mathematics
    Volume: 1992001; 185 pp
    MSC: 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.

    Readership

    Graduate 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Iwanami Series in Modern Mathematics
Volume: 1992001; 185 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.