The Novikov conjecture : geometry and algebra
Manifolds are the central geometric objects in modern mathematics. An attempt to understand the nature of manifolds leads to many interesting questions. One of the most obvious questions is the following. Let M and N be manifolds: how can we decide whether M and N are ho- topy equivalent or homeomor...
Đã lưu trong:
| Những tác giả chính: | , |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Phiên bản: | 1st ed. 2005. |
| Loạt: | Oberwolfach Seminars
33 |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Novikov conjecture, geometry and algebra, Matthias Kreck, Wolfgang Lück, Basel, Birkhäuser, 2005, 1 vol. (XV-266 p.), Oberwolfach seminars, 3-7643-7141-2 |
Mục lục:
- 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