Fibre Bundles

Lieferzeit: Lieferbar innerhalb 14 Tagen

67,36 

Graduate Texts in Mathematics 20

ISBN: 0387940871
ISBN 13: 9780387940878
Autor: Husemöller, Dale
Verlag: Springer Verlag GmbH
Umfang: xx, 356 S., 4 s/w Illustr., 4 s/w Zeichng.
Erscheinungsdatum: 14.12.1993
Auflage: 3/1994
Format: 2.6 x 24.2 x 16.5
Gewicht: 696 g
Produktform: Gebunden/Hardback
Einband: GEB

Fibre bundles play an important role in just about every aspect of modern geometry and topology. This third edition contains two new chapters on the gage group of a bundle and on the differential forms representing characteristic classes of complex vector bundles on manifolds.

Artikelnummer: 1922033 Kategorie:

Beschreibung

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.

Autorenporträt

Inhaltsangabe1 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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