000			00474nam a2200133Ia 4500
999			_c170280 _d170280
020			_a9783540749554
040			_cCUS
082			_a514.23 _bHUS/B
100			_aHusemoller, Dale
245		0	_aBasic bundle theory and K-cohomology invariants/ _cDale Husemoller, Michael Joachim, Branislav Jurco and Martin Schottenloher
260			_aBerlin: _bSpringer, _cc2008.
300			_axv, 340 p. : _bill. ; _c25 cm.
440			_a(Lecture notes in physics), _v726
505			_aPhysical 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.
650			_aK-theory
650			_aMathematical physics
650			_aAlgebra
650			_aMathematics
700			_aJoachim, Michael
700			_aJurco, Branislav
700			_aSchottenloher, Martin
942			_cWB16