Science/Engineering The Novikov Conjecture: Geometry and Algebra (3764371412)

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The Novikov Conjecture: Geometry and Algebra

These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a version of the assembly map is presented. Using the solution of the Novikov conjecture for special groups some applications to the classification of low dimensional manifolds are given. Finally, the most recent developments concerning these conjectures are surveyed, including a detailed status report. The prerequisites consist of a solid knowledge of the basics about manifolds, vector bundles, (co-) homology and characteristic classes.

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	Science/Engineering Algebra and Geometry Alan F. Beardon , "Algebra and Geometry"Cambridge University Press \| 2005 \| English \| ISBN: 052181362X \| 340 pages \| PDF \| 1.4MB
	Study Basic Elements of Differential Geometry and Topology by S P. Novikov, A T. Fomenko S.P. Novikov, A.T. Fomenko. Basic Elements of Differential Geometry and Topology(Mathematics and its Applications)Kluwer Academic Publishers \| 1990-11 \| ISBN: 0792310098 \| 504 pages \| PDF/djvu \| 29/3 MbThe authors have some 15 years experi ...
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