Novikov Conjectures, Index Theorems, and Rigidity

Volume 2

Part of London Mathematical Society Lecture Note Series

Editors:
Steven C. Ferry, State University of New York, Binghamton
Andrew Ranicki, University of Edinburgh
Jonathan M. Rosenberg, University of Maryland

M. E. Bekka, P. A. Cherix, A. Vakette, Gunnar Carlsson, J. Eichhorn, S. Ferry, Steven C. Ferry, E. Pederson, N. Higson, J. Roe, S. Hurder, Eric Pedersen, E. K. Pederson, J. Roe, S. Weinberger, Charles B. Thomas, E. V. Troitsky, Michael Weiss, Bruce Williams, Michael Weiss, Bruce Williams

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Date Published: November 1995
availability: Available
format: Paperback
isbn: 9780521497954

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Description

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
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Product details
- Date Published: November 1995
- format: Paperback
- isbn: 9780521497954
- length: 376 pages
- dimensions: 227 x 152 x 23 mm
- weight: 0.546kg
- availability: 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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Novikov Conjectures, Index Theorems, and Rigidity
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Editors
Steven C. Ferry, State University of New York, Binghamton
Andrew Ranicki, University of Edinburgh
Jonathan M. Rosenberg, University of Maryland
Contributors
M. E. Bekka, P. A. Cherix, A. Vakette, Gunnar Carlsson, J. Eichhorn, S. Ferry, Steven C. Ferry, E. Pederson, N. Higson, J. Roe, S. Hurder, Eric Pedersen, E. K. Pederson, J. Roe, S. Weinberger, Charles B. Thomas, E. V. Troitsky, Michael Weiss, Bruce Williams, Michael Weiss, Bruce Williams