Novikov Conjectures, Index Theorems, and Rigidity

Novikov Conjectures, Index Theorems, and Rigidity

Einband:
Kartonierter Einband
EAN:
9780521497961
Untertitel:
Volume 1: Oberwolfach 1993
Autor:
Steven C. (State University of New York, Bi Ferry
Herausgeber:
Cambridge University Press
Anzahl Seiten:
384
Erscheinungsdatum:
08.02.2008
ISBN:
0521497965

Klappentext The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. This volume contains a detailed historical survey and bibliography of the Novikov Conjecture and of related subsequent developments. Zusammenfassung These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of 'Novikov Conjectures! Index Theorems and Rigidity'. Inhaltsverzeichnis 1. Homotopy type of differentiable manifolds William Browder; 2. A history and survey of the Novikov conjecture S. C. Ferry, A. RanickI and J. Rosenberg; 3. A coarse approach to the Novikov conjecture S. C. Ferry and Shmuel Weinberger; 4. Reflections on the Novikov conjecture Mikhael Gromov; 5. K-theory, group C*-algebras and higher signatures (Conspectus) Gennadi Kasparov; 6. On the Steenrod homology theory John Milnor; 7. Controlled Fredholm Representations A. S. Mishchenko; 8. Assembly maps in bordism-type theories Frank Quin; 9. On the Novikov conjecture Andrew Ranicki.

Zusammenfassung
These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of 'Novikov Conjectures, Index Theorems and Rigidity'.

Inhalt
1. Homotopy type of differentiable manifolds William Browder; 2. A history and survey of the Novikov conjecture S. C. Ferry, A. RanickI and J. Rosenberg; 3. A coarse approach to the Novikov conjecture S. C. Ferry and Shmuel Weinberger; 4. Reflections on the Novikov conjecture Mikhael Gromov; 5. K-theory, group C*-algebras and higher signatures (Conspectus) Gennadi Kasparov; 6. On the Steenrod homology theory John Milnor; 7. Controlled Fredholm Representations A. S. Mishchenko; 8. Assembly maps in bordism-type theories Frank Quin; 9. On the Novikov conjecture Andrew Ranicki.


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