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From calculus to cohomology: De Rham cohomology and characteristic classes Ib H. Madsen, Jxrgen Tornehave
Publisher: CUP

For a representative of the characteristic class called the first fractional Pontryagin class. Download Download Cohomology of Vector Bundles & Syzgies . Loop Spaces, Characteristic Classes and Geometric Quantization (Modern Birkhauser Classics) by Jean-luc Brylinski: This book deals with the differential geometry of. *FREE* super saver shipping on qualifying offers. Represents the image in de Rham cohomology of a generators of the integral cohomology group H 3 ( G , ℤ ) ≃ ℤ . On Chern-Weil theory: principal bundles with connections and their characteristic classes. Connections Curvature and Characteristic Classes From Calculus to Cohomology: De Rham Cohomology and Characteristic. Euler class - Wikipedia, the free encyclopedia in the cohomology of E relative to the complement E\E 0 of the zero section E 0.. It is a useful reference, in particular for those advanced undergraduates and graduate From Calculus to Cohomology: De Rham Cohomology and Characteristic. The definition of characteristic classes,. Related 0 Algebraic and analytic preliminaries; 1 Basic concepts; II Vector bundles; III Tangent bundle and differential forms; IV Calculus of differential forms; V De Rham cohomology; VI Mapping degree; VII Integration over the fiber; VIII Cohomology of sphere bundles; IX Cohomology of vector bundles; X The Lefschetz class of a manifold; Appendix A The exponential map. From calculus to cohomology: de Rham cohomology and characteristic classes "Ib Henning Madsen, Jørgen Tornehave" 1997 Cambridge University Press 521589569. From Calculus to Cohomology: De Rham Cohomology and Characteristic.