Novikov Conjectures, Index Theorems, and Rigidity
Novikov Conjectures, Index Theorems, and Rigidity
Volume 2:
Steven C. Ferry, State University of New York, Binghamton
Andrew Ranicki, University of Edinburgh
Jonathan M. Rosenberg, University of Maryland
Andrew Ranicki, University of Edinburgh
Jonathan M. Rosenberg, University of Maryland
November 1995
2
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9780521497954
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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.
- Novikov's original paper (plus a translation) is reproduced
- Up-to-date surveys included
- Could be used as a supplementary reference for graduate topics course on topology and geometry of manifolds
Product details
November 1995Paperback
9780521497954
376 pages
227 × 152 × 23 mm
0.546kg
Available
Table of Contents
- 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.
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