Pub. Date:
Springer New York
Fibre Bundles / Edition 3

Fibre Bundles / Edition 3

by Dale Husemöller


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Product Details

ISBN-13: 9780387940878
Publisher: Springer New York
Publication date: 12/09/1993
Series: Graduate Texts in Mathematics , #20
Edition description: 3rd ed. 1994
Pages: 356
Product dimensions: 6.14(w) x 9.21(h) x 0.36(d)

Table of Contents

1 Preliminaries on Homotopy Theory.- I The General Theory of Fibre Bundles.- 2 Generalities on Bundles.- 3 Vector Bundles.- 4 General Fibre Bundles.- 5 Local Coordinate Description of Fibre Bundles.- 6 Change of Structure Group in Fibre Bundles.- 7 The Gauge Group of a Principal Bundle.- 8 Calculations Involving the Classical Groups.- II Elements of K-Theory.- 9 Stability Properties of Vector Bundles.- 10 Relative K-Theory.- 11 Bott Periodicity in the Complex Case.- 12 Clifford Algebras.- 13 The Adams Operations and Representations.- 14 Representation Rings of Classical Groups.- 15 The Hopf Invariant.- 16 Vector Fields on the Sphere.- III Characteristic Classes.- 17 Chern Classes and Stiefel-Whitney Classes.- 18 Differentiable Manifolds.- 19 Characteristic Classes and Connections.- 20 General Theory of Characteristic Classes.- Appendix 1 Dold’s Theory of Local Properties of Bundles.- Appendix 2 On the Double Suspension.- 4. Single Suspension Sequences.- 7. Double Suspension Sequences.

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