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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 Ib H. Madsen, Jxrgen Tornehave ebook
Publisher: CUP
Page: 290
ISBN: 0521589568, 9780521589567
Format: djvu

Connections Curvature and Characteristic Classes From Calculus to Cohomology: De Rham Cohomology and Characteristic. *FREE* super saver shipping on qualifying offers. Madsen, Jxrgen Tornehave, "From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes" Cambridge University Press | 1997 | ISBN: 0521589568 | 296 pages | PDF | 12 MB. The definition of characteristic classes,. MSC (2010): Primary 58Jxx, 46L80; Blowing-up the metric one recovers the pair of characteristic currents that represent the corresponding de Rham relative homology class, while the blow-down yields a relative cocycle whose expression involves higher eta cochains and their b-analogues. From Calculus to Cohomology: De Rham Cohomology and Characteristic. Tags:From calculus to cohomology: De Rham cohomology and characteristic classes, tutorials, pdf, djvu, chm, epub, ebook, book, torrent, downloads, rapidshare, filesonic, hotfile, fileserve. For a representative of the characteristic class called the first fractional Pontryagin class. Keywords: Manifolds with boundary, b-calculus, noncommutative geometry, Connes–Chern character, relative cyclic cohomology, -invariant. 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. 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.