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Novikov conjectures, index theorems and rigidity. Vol. 1 /
The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) in September 1993, on the subject of '...
| Clasificación: | Libro Electrónico |
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| Autor Corporativo: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
1995.
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| Colección: | London Mathematical Society lecture note series ;
226. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Dedication; Contents; Contents, Volume 1; Contents, Volume 2; Preface; Programme of the Conference; Monday, 6th September; Tuesday, 7th September; Proper affine isometric actions of amenable groups, M.E. Bekka, P.-A. Cherix, and Alain Valette; Wednesday, 8th September; Thursday, 9th September; Friday, 10th September; Participant List from the Conference; Organizers:; Other participants; Bounded K-theory and the assembly map in algebraic K-theory, Gunnar Carlsson; A history and survey of the Novikov conjecture, StevenC . Ferry, And rewRanicki, and JonathanRosenberg
- 1. Precursors of the Novikov Conjecture2. The Original Statement of the Novikov Conjecture; 3. Work related to the Novikov Conjecture: The First12 Years or So; 4. Work related to the Novikov Conjecture: The Last 12Years or So, I: Homotopy Theory and Algebra; 5. Work related to the Novikov Conjecture: The Last 12Years or So, II: Geometric Topology; 6. Work related to the Novikov Conjecture: The Last 12Years or So, III: Elliptic Operators and Operator Algebras; Annotated Problem List; Proposed by M. Gromov; Proposed by C. Stark; Proposed by A. Ranicki; Proposed by S. Ferry and S. Weinberger
- Proposed by M. RothenbergProposed by J. Rosenberg; Proposed by J. Davis; Proposed by J. Roe; Proposed by J. Cuntz and M. Puschnigg; Proposed by A. Valette; Proposed by S. Hurder; Proposed by F. Connolly; Proposed by T. Kozniewski; Proposed by M. Yan; Proposed by E, Pedersen; Proposed by B. Williams; Proposed by W. Liick; On the Steenrod homology theory (first distributed 1961), John Milnor; 1. The Uniqueness Theorem; 2. A continuity property of the Steenrod homology; 3. Axioms for cohomology; 4. Construction of a homology theory; Appendix. Derived functors of inverse limits.; References
- Addendum (May 1995)Theorem 1.; Theorem 2.; Lemma 1; Lemma 2.; Lemma 3.; Lemma 4.; References; K-theory, group C*-algebras, and higher signatures (Conspectus) (first distributed 1981), Gennadi G. Kasparov; Preface; Introduction; 1. Notation; 2. The stabilization of Hilbert modules; 3. The technique of product-intersection; 4. K-bifunctor; 5. The reduction of G to the maximal compact subgroup; 6. C*-algebras of connected groups; 7. C*-algebras of discrete groups; On the rigidity of the index on open manifolds, Jiirgen Eichhorn; 8. Represent able K- functor and Poincare duality
- 9. Higher signaturesREFERENCES; A coarse approach to the Novikov conjecture, Steven C. Ferry and Shmuel Weinberger; 1. Background; Remarks on Steenrod homology, Steven C. Ferry; 2. The bounded category; 3. Topological invariance of rational Pontrjagin classes; 4. Application of the principle of descent to the NovikovConjecture; 5. Remarks on extensions; 6. Appendix; Remark; REFERENCES; Geometric reflections on the Novikov conjecture, Mikhael Gromov; Epsilon surgery theory, Steven C. Ferry and Erik K. Pedersen; Theorem (Vafa and Witten [VW]).; REFERENCES