Classification of ( n - 1 )-connected 2n-dimensional manifolds and the discovery of exotic spheres

Kapitel in diesem Buch

1. Frontmatter i
2. Contents v
3. Preface vii
4. C. T. C. Wall’s contributions to the topology of manifolds 1
5. C. T. C. Wall’s publication list 17
6. Classification of ( n - 1 )-connected 2n-dimensional manifolds and the discovery of exotic spheres 25
7. Surgery in the 1960’s 31
8. Differential topology of higher dimensional manifolds 41
9. Differentiable structures on manifolds 73
10. The Kervaire invariant and surgery theory 105
11. A guide to the classification of manifolds 121
12. Poincaré duality spaces 135
13. Poincaré duality groups 167
14. Manifold aspects of the Novikov Conjecture 195
15. A guide to the calculation of the surgery obstruction groups for finite groups 225
16. Surgery theory and infinite fundamental groups 275
17. Continuously controlled surgery theory 307
18. Homology manifolds 323
19. A survey of applications of surgery to knot and link theory 345
20. Surgery and C-algebras 365
21. The classification of Aloff-Wallach manifolds and their generalizations 379
22. Elliptic cohomology 409