Fibre Bundles

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Häftad, Engelska, 2012

Del 20 i serien Graduate Texts in Mathematics

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Beskrivning

In this third edition two new chapters on the gauge group of a bundle and on the differential forms representing characteristic classes of complex vector bundles on manifolds have been added.

Produktinformation

Utgivningsdatum:2012-12-14
Mått:155 x 235 x 28 mm
Vikt:576 g
Format:Häftad
Språk:Engelska
Serie:Graduate Texts in Mathematics
Antal sidor:356
Upplaga:3
Förlag:Springer-Verlag New York Inc.
ISBN:9781475722635

Utforska kategorier

Topologi inom Naturvetenskap och teknik

Innehållsförteckning

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.