Beschreibung
InhaltsangabeIntroduction.- 0. A Motivating Problem.- 1. Introduction to the Nopvikov and Borel Conjecture.- 2. Normal Bordism Groups.- 3. The Signature.- 4. The Signature Theorem and the Novikov Conjecture.- 5. The Projective Class Group and the Whitehead Group.- 6. Whitehead Torsion.- 7. The Statement and Consequences of the s-Cobordism Theorem.- 8. Sketch of the Proof of the s-Cobordism Theorem.- 9. From the Novikov Conjecture to Surgery.- 10. Surgery Below the Middle Dimension I: An Example.- 11. Surgery Below the Middle Dimension II: Systematically.- 12. Surgery in the Middle Dimension I.- 13. Surgery in the Middle Dimension II.- 14. Surgery in the Middle Dimension III.- 15. An Assembly Map.- 16. The Novikov Conjecture for Z^n.- 17. Poincaré Duality and Algebraic L-Groups.- 18. Spectra.- 19. Classifying Spaces of Families.- 20. Equivariant Homology Theories and the Meta-Conjecture.- 21. The Farrell-Jones Conjecture.- 22. The Baum-Connes Conjecture.- 23. Relating the Novikov, the Farrell-Jones and the Baum-Connes Conjectures.- 24. Miscellaneous.- 25. Exercises.- 26. Hints to the Solutions of the Exercises.- References.- Index.- Notation
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Inhalt
Introduction.- 0. A Motivating Problem.- 1. Introduction to the Nopvikov and Borel Conjecture.- 2. Normal Bordism Groups.- 3. The Signature.- 4. The Signature Theorem and the Novikov Conjecture .- 5. The Projective Class Group and the Whitehead Group.- 6. Whitehead Torsion.- 7. The Statement and Consequences of the s-Cobordism Theorem.- 8. Sketch of the Proof of the s-Cobordism Theorem.- 9. From the Novikov Conjecture to Surgery.- 10. Surgery Below the Middle Dimension I: An Example.- 11. Surgery Below the Middle Dimension II: Systematically.- 12. Surgery in the Middle Dimension I.- 13. Surgery in the Middle Dimension II.- 14. Surgery in the Middle Dimension III.- 15. An Assembly Map.- 16. The Novikov Conjecture for Z^n.- 17. Poincare Duality and Algebraic L-Groups.- 18. Spectra.- 19. Classifying Spaces of Families.- 20. Equivariant Homology Theories and the Meta-Conjecture.- 21. The Farrell-Jones Conjecture.- 22. The Baum-Connes Conjecture.- 23. Relating the Novikov, the Farrell-Jones and the Baum-Connes Conjectures.- 24. Miscellaneous.- 25. Exercises.- 26. Hints to the Solutions of the Exercises.- References.- Index.- Notation
