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The Novikov Conjecture

Geometry and Algebra
BuchKartoniert, Paperback
266 Seiten
Englisch
Springererschienen am22.11.2004
Contains a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. These lecture notes provide basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. They present an introduction to surgery theory and a version of the assembly map.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR42,75
E-BookPDF1 - PDF WatermarkE-Book
EUR39,58

Produkt

KlappentextContains a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. These lecture notes provide basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. They present an introduction to surgery theory and a version of the assembly map.
Zusammenfassung
These Lecture Notes are to the author's knowledge the only introduction to the Novikov Conjecture written for students

Includes information about the latest developments
Details
ISBN/GTIN978-3-7643-7141-8
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2004
Erscheinungsdatum22.11.2004
ReiheOberwolfach Seminars
Seiten266 Seiten
SpracheEnglisch
Gewicht540 g
IllustrationenXV, 266 p.
Artikel-Nr.10590830

Inhalt/Kritik

Inhaltsverzeichnis
A Motivating Problem.- to the Novikov and the Borel Conjecture.- Normal Bordism Groups.- The Signature.- The Signature Theorem and the Novikov Conjecture.- The Projective Class Group and the Whitehead Group.- Whitehead Torsion.- The Statement and Consequences of the s-Cobordism Theorem.- Sketch of the Proof of the s-Cobordism Theorem.- From the Novikov Conjecture to Surgery.- Surgery Below the Middle Dimension I: An Example.- Surgery Below the Middle Dimension II: Systematically.- Surgery in the Middle Dimension I.- Surgery in the Middle Dimension II.- Surgery in the Middle Dimension III.- An Assembly Map.- The Novikov Conjecture for ?n.- Poincaré Duality and Algebraic L-Groups.- Spectra.- Classifying Spaces of Families.- Equivariant Homology Theories and the Meta-Conjecture.- The Farrell-Jones Conjecture.- The Baum-Connes Conjecture.- Relating the Novikov, the Farrell-Jones and the Baum-Connes Conjectures.- Miscellaneous.- Exercises.- Hints to the Solutions of the Exercises.mehr
Kritik
From the reviews:

This very readable book provides an excellent introduction to the circle of ideas related to the Novikov conjecture.

Monatshefte für 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)mehr