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Basic bundle theory and k-cohomology invariants / / Dale Husemöller, Michael Joachim, Branislav Jurco, Martin Schottenloher, S. Echterhoff, B. Krötz, Dale Husemöller, B. Krötz
| Basic bundle theory and k-cohomology invariants / / Dale Husemöller, Michael Joachim, Branislav Jurco, Martin Schottenloher, S. Echterhoff, B. Krötz, Dale Husemöller, B. Krötz |
| Autore | Husemöller Dale |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, United States : , : Springer, , [2008] |
| Descrizione fisica | 1 online resource (XV, 340 p.) |
| Disciplina | 514.224 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
K-theory
Fiber bundles (Mathematics) |
| ISBN | 3-540-74956-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNINA-9910146559803321 |
Husemöller Dale
|
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| Berlin, Germany ; ; New York, United States : , : Springer, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Basic bundle theory and k-cohomology invariants / / Dale Husemöller, Michael Joachim, Branislav Jurco, Martin Schottenloher, S. Echterhoff, B. Krötz, Dale Husemöller, B. Krötz
| Basic bundle theory and k-cohomology invariants / / Dale Husemöller, Michael Joachim, Branislav Jurco, Martin Schottenloher, S. Echterhoff, B. Krötz, Dale Husemöller, B. Krötz |
| Autore | Husemöller Dale |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, United States : , : Springer, , [2008] |
| Descrizione fisica | 1 online resource (XV, 340 p.) |
| Disciplina | 514.224 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
K-theory
Fiber bundles (Mathematics) |
| ISBN | 3-540-74956-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNISA-996466695603316 |
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Husemöller Dale
|
||
| Berlin, Germany ; ; New York, United States : , : Springer, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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