TY  - BOOK
AU  - Husemoller, Dale
AU  - Joachim, Michael
AU  - Jurco, Branislav
AU  - Schottenloher, Martin
TI  - Basic bundle theory and K-cohomology invariants
SN  - 9783540749554
U1  - 514.23 
PY  - 2008///
CY  - Berlin
PB  - Springer
KW  - K-theory
KW  - Mathematical physics
KW  - Algebra
KW  - Mathematics
N1  - Physical background to the k-theory classification of D-Branes: introduction and references --
pt. I Bundles over a space and modules over an algebra --
Generalities on bundles and categories --
Vector bundles --
Relation between vector bundles, projective modules, and indempotents --
K-theory of vector bundles and sections of fibre bundles: reduction of the structure and the guage group I --
pt. II. Homotopy classification of bundles and cohomolgy: 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 --
pt. III. Versions of K-theory and bott periodicity --
G-spaces, G-bundles, and G-vector bundles --
Equivariant K-theory functor K(subscript G) : periodicity, thom isomorphism, localization, and completion --
Bott periodicity maps and Clifford algebras --
Gram-Schmidt process, Iwasawa decomposition, and reduction of structure --
Topological algebras: G-equivariance and KK-theory --
pt. IV. 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 Velinde algebra --
pt. V. Gerbes and the three dimensional integral cohomology classes --
Bundle grebes --
Category objects and groupoid gerbs --
Stack and grebes
ER  -