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Novikov Conjectures, Index Theorems, and Rigidity, Volume 2
     

Novikov Conjectures, Index Theorems, and Rigidity, Volume 2

by Steven C. Ferry, Andrew Ranicki, Jonathan M. Rosenberg
 

ISBN-10: 0521497957

ISBN-13: 9780521497954

Pub. Date: 02/28/2003

Publisher: Cambridge University Press

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

Overview

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.

Product Details

ISBN-13:
9780521497954
Publisher:
Cambridge University Press
Publication date:
02/28/2003
Series:
London Mathematical Society Lecture Note Series , #227
Pages:
376
Product dimensions:
5.98(w) x 8.98(h) x 0.83(d)

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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