Basic Bundle Theory and K-Cohomology Invariants : With contributions by Siegfried Echterhoff, Stefan Fredenhagen and Bernhard Krötz
Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundl...
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2008. |
| Collection: | Lecture Notes in Physics
726 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Basic bundle theory and K-cohomology invariants, D. Husemöller, M. Joachim, B. Jurčo... [et al.], 2008, Berlin, Springer, 1 vol. (xv-340 p.), Lecture notes in physics, 978-3-540-74955-4 • Basic Bundle Theory and K-Cohomology Invariants, Texte imprimé, 9783540843863 • Basic Bundle Theory and K-Cohomology Invariants, Texte imprimé, 9783642094361 |
Table des matières:
- Physical Background to the K-Theory Classification of D-Branes: Introduction and References Physical Background to the K-Theory Classification of D-Branes: Introduction and References Bundles over a Space and Modules over an Algebra Generalities on Bundles and Categories Vector Bundles Relation Between Vector Bundles, Projective Modules, and Idempotents K-Theory of Vector Bundles, of Modules, and of Idempotents Principal Bundles and Sections of Fibre Bundles: Reduction of the Structure and the Gauge Group I Homotopy Classification of Bundles and Cohomology: Classifying Spaces Homotopy Classes of Maps and the Homotopy Groups The Milnor Construction: Homotopy Classification of Principal Bundles Fibrations and Bundles: Gauge Group II Cohomology Classes as Homotopy Classes: CW-Complexes Basic Characteristic Classes Characteristic Classes of Manifolds Spin Structures Versions of K-Theory and Bott Periodicity G-Spaces, G-Bundles, and G-Vector Bundles Equivariant K-Theory Functor KG : Periodicity, Thom Isomorphism, Localization, and Completion Bott Periodicity Maps and Clifford Algebras Gram Schmidt Process, Iwasawa Decomposition, and Reduction of Structure in Principal Bundles Topological Algebras: G-Equivariance and KK-Theory Algebra Bundles: Twisted K-Theory Isomorphism Classification of Operator Algebra Bundles Brauer Group of Matrix Algebra Bundles and K-Groups Analytic Definition of Twisted K-Theory The Atiyah Hirzebruch Spectral Sequence in K-Theory Twisted Equivariant K-Theory and the Verlinde Algebra Gerbes and the Three Dimensional Integral Cohomology Classes Bundle Gerbes Category Objects and Groupoid Gerbes Stacks and Gerbes Erratum