The Novikov Conjecture Geometry and Algebra /

• Κύριοι συγγραφείς: Kreck, Matthias (Συγγραφέας), Lück, Wolfgang (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2005.
• Θέματα: Mathematics.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Algebraic Topology.; Manifolds and Cell Complexes (incl. Diff.Topology).

Πίνακας περιεχομένων:

• 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.