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The Novikov Conjecture: Geometry and Algebra: Book by Matthias Kreck

The Novikov Conjecture: Geometry and Algebra

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ISBN: 9783764371418    Publisher: Birkhauser Verlag AG Year of publishing: 2004     Format:  Paperback No of Pages: 288        Language: English
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...Read more
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.
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Review:
From the reviews: This very readable book provides an excellent introduction to the circle of ideas related to the Novikov conjecture. Monatshefte fur Mathematik "Overall, the book is very suitable...Read more
From the reviews: This very readable book provides an excellent introduction to the circle of ideas related to the Novikov conjecture. Monatshefte fur Mathematik "Overall, the book is very suitable both as an introduction and as a reference, and finds exactly the right balance between detail, comprehensiveness and length of the presentation. It is recommended to everyone with a background in algebraic topology who wants to learn about one or some of the aspects covered."(MATHEMATICAL REVIEWS)
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