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

From calculus to cohomology: De Rham cohomology and characteristic classes



Download From calculus to cohomology: De Rham cohomology and characteristic classes




From calculus to cohomology: De Rham cohomology and characteristic classes Ib H. Madsen, Jxrgen Tornehave ebook
Format: djvu
ISBN: 0521589568, 9780521589567
Publisher: CUP
Page: 290


On Chern-Weil theory: principal bundles with connections and their characteristic classes. Represents the image in de Rham cohomology of a generators of the integral cohomology group H 3 ( G , ℤ ) ≃ ℤ . For a representative of the characteristic class called the first fractional Pontryagin class. From Calculus to Cohomology: De Rham Cohomology and Characteristic. Differentiable Manifolds DeRham Differential geometry and the calculus of variations hermann Geometry of Characteristic Classes Chern Geometry . From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes. The results on differentiable Lie group cohomology used above are in. 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. Blanc, Cohomologie différentiable et changement de groupes Astérisque, vol. The de Rham cohomology of a manifold is the subject of Chapter 6. De Rham cohomology is the cohomology of differential forms. Topics include: Poincare lemma, calculation of de Rham cohomology for simple examples, the cup product and a comparison of homology with cohomology. The definition of characteristic classes,. *FREE* super saver shipping on qualifying offers.