Novikov Conjectures, Index Theorems, and Rigidity

Volume 2
Erscheinungsjahr 2003
ISBN: 978-0-521-49795-4
Verlag: Cambridge University Press

Buch, Englisch, Band 227, 374 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 609 g

Reihe: London Mathematical Society Lecture Note Series

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 `Novikov Conjectures, Index Theorems and Rigidity'. They are intended to give a snapshot of the status of work on the Novikov Conjecture and related topics from many points of view: geometric topology, homotopy theory, algebra, geometry, analysis.

Autoren/Hrsg.

Ferry, Steven C.

Ranicki, Andrew

Rosenberg, Jonathan M.

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

Inhaltsverzeichnis

1. Proper affine isometric actions of amenable groups M. E. Bekka, P. A. Cherix and A. Vakette; 2. Bounded K-theory and the assembly map in algebraic K-theory Gunnar Carlsson; 3. On the rigidity of the index on open manifolds J. Eichhorn; 4. Remarks on Steenrod Homology S. Ferry; 5. Epsilon surgery Steven C. Ferry and E. Pederson; 6. On the coarse Baum-connes conjecture N. Higson and J. Roe; 7. Exotic index theory and the Novikov conjecture S. Hurder; 8. Bounded and continuous control Eric Pedersen; 9. On the homotopy invariance of the boundedly controlled signature of a manifold over an open cone E. K. Pederson, J. Roe and S. Weinberger; 10. 3-manifolds and PD(3)-groups Charles B. Thomas; 11. Orthogonal complements and endomorphisms of Hilbert Modules and C*-Elliptic Complexes E. V. Troitsky; 12. Assembly Michael Weiss and Bruce Williams; 13. Pro-exclusive Functions Michael Weiss and Bruce Williams.