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Fibre Bundles : Graduate Texts in Mathematics - Dale Husemoller

Fibre Bundles

Graduate Texts in Mathematics

Hardcover Published: 9th December 1993
ISBN: 9780387940878
Number Of Pages: 356

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Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics. The new edition of this text includes two additional chapters, one on the gauge group of a bundle and the other on the differential forms representing characteristic classes of complex vector bundles on manifolds.

Preface to the Third Edition
Preface to the Second Edition
Preface to the First Edition
Preliminaries on Homotopy Theoryp. 1
The General Theory of Fibre Bundlesp. 9
Generalities on Bundlesp. 11
Vector Bundlesp. 24
General Fibre Bundlesp. 40
Local Coordinate Description of Fibre Bundlesp. 61
Change of Structure Group in Fibre Bundlesp. 73
The Gauge Group of a Principal Bundlep. 79
Calculations Involving the Classical Groupsp. 87
Elements of K-Theoryp. 109
Stability Properties of Vector Bundlesp. 111
Relative K-Theoryp. 122
Bott Periodicity in the Complex Casep. 140
Clifford Algebrasp. 151
The Adams Operations and Representationsp. 171
Representation Rings of Classical Groupsp. 189
The Hopf Invariantp. 210
Vector Fields on the Spherep. 217
Characteristic Classesp. 243
Chern Classes and Stiefel-Whitney Classesp. 245
Differentiable Manifoldsp. 262
Characteristic Classes and Connectionsp. 280
General Theory of Characteristic Classesp. 294
Appendix 1 Dold's Theory of Local Properties of Bundlesp. 312
Appendix 2 On the Double Suspensionp. 314
Bibliographyp. 339
Indexp. 348
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387940878
ISBN-10: 0387940871
Series: Graduate Texts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 356
Published: 9th December 1993
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.5 x 16.5  x 2.9
Weight (kg): 0.7
Edition Number: 3
Edition Type: Revised

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