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

On Chern-Weil theory: principal bundles with connections and their characteristic classes. Then we have: \displaystyle | N \cap N'| = \int_M [N] \. Topics include: Poincare lemma, calculation of de Rham cohomology for simple examples, the cup product and a comparison of homology with cohomology. Madsen, Jxrgen Tornehave, "From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes" Cambridge University Press | 1997 | ISBN: 0521589568 | 296 pages | PDF | 12 MB. Tags:From calculus to cohomology: De Rham cohomology and characteristic classes, tutorials, pdf, djvu, chm, epub, ebook, book, torrent, downloads, rapidshare, filesonic, hotfile, fileserve. Download Free eBook:From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes - Free chm, pdf ebooks rapidshare download, ebook torrents bittorrent download. 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. Using “calculus” (or cohomology): let {[N], [N'] \in H^*(M be the fundamental classes. Loop Spaces, Characteristic Classes and Geometric Quantization (Modern Birkhauser Classics) by Jean-luc Brylinski: This book deals with the differential geometry of. Where “integration” means actual integration in the de Rham theory, or equivalently pairing with the fundamental homology class. The de Rham cohomology of a manifold is the subject of Chapter 6. Connections Curvature and Characteristic Classes From Calculus to Cohomology: De Rham Cohomology and Characteristic. Caveat: The “cardinality” of {N \cap N'} is really a signed one: each point is is not really satisfactory if we are working in characteristic {p} .