The Novikov Conjecture: Geometry and Algebra

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Kreck, Matthias, Lück, Wolfgang
Format: Buch
Sprache:eng
Schlagworte:
Algebraic Topology
Congresses
Differential topology
K-theory
Manifolds and Cell Complexes (incl. Diff.Topology)
Mathematics
Mathematics and Statistics
Noncommutative differential geometry
Novikov conjecture
Novikov conjecture-Congresses
Topology
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Beschreibung
Zusammenfassung: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.
DOI:10.1007/b137100