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Basic Bundle Theory and K-Cohomology Invariants

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Cover of 'Basic Bundle Theory and K-Cohomology Invariants'

Table of Contents

  1. Altmetric Badge
    Book Overview
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    Chapter 1 Physical Background to the K-Theory Classification of D-Branes: Introduction and References
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    Chapter 2 Generalities on Bundles and Categories
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    Chapter 3 Vector Bundles
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    Chapter 4 Relation Between Vector Bundles, Projective Modules, and Idempotents
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    Chapter 5 K-Theory of Vector Bundles, of Modules, and of Idempotents
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    Chapter 6 Principal Bundles and Sections of Fibre Bundles: Reduction of the Structure and the Gauge Group I
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    Chapter 7 Homotopy Classes of Maps and the Homotopy Groups
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    Chapter 8 The Milnor Construction: Homotopy Classification of Principal Bundles
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    Chapter 9 Fibrations and Bundles: Gauge Group II
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    Chapter 10 Cohomology Classes as Homotopy Classes: CW-Complexes
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    Chapter 11 Basic Characteristic Classes
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    Chapter 12 Characteristic Classes of Manifolds
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    Chapter 13 Spin Structures
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    Chapter 14 G-Spaces, G-Bundles, and G-Vector Bundles
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    Chapter 15 Equivariant K -Theory Functor K G : Periodicity, Thom Isomorphism, Localization, and Completion
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    Chapter 16 Bott Periodicity Maps and Clifford Algebras
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    Chapter 17 Gram–Schmidt Process, Iwasawa Decomposition, and Reduction of Structure in Principal Bundles
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    Chapter 18 Topological Algebras: G -Equivariance and KK -Theory
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    Chapter 19 Isomorphism Classification of Operator Algebra Bundles
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    Chapter 20 Brauer Group of Matrix Algebra Bundles and K -Groups
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    Chapter 21 Analytic Definition of Twisted K -Theory
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    Chapter 22 The Atiyah–Hirzebruch Spectral Sequence in K -Theory
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    Chapter 23 Twisted Equivariant K -Theory and the Verlinde Algebra
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    Chapter 24 Bundle Gerbes
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    Chapter 25 Category Objects and Groupoid Gerbes
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    Chapter 26 Stacks and Gerbes
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    Chapter 27 Erratum
Attention for Chapter 26: Stacks and Gerbes
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Chapter title
Stacks and Gerbes
Chapter number 26
Book title
Basic Bundle Theory and K-Cohomology Invariants
Published by
Springer, Berlin, Heidelberg, January 2008
DOI 10.1007/978-3-540-74956-1_26
Book ISBNs
978-3-54-074955-4, 978-3-54-074956-1
Authors

D. Husemöller, M. Joachim, B. Jurčo, M. Schottenloher, Husemöller, D., Joachim, M., Jurčo, B., Schottenloher, M.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 3 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 2 67%
Unknown 1 33%
Readers by discipline Count As %
Mathematics 1 33%
Physics and Astronomy 1 33%
Unknown 1 33%