Article

The Fibered Isomorphism Conjecture for Complex Manifolds

Acta Mathematica Sinica (Impact Factor: 0.48). 09/2002; 23(4). DOI: 10.1007/s10114-005-0759-2
Source: arXiv

ABSTRACT

In this paper we show that the Fibered Isomorphism Conjecture of Farrell and Jones, corresponding to the stable topological pseudoisotopy functor, is true for the fundamental groups of a class of complex manifolds. A consequence of this result is that the Whitehead group, reduced projective class groups and the negative K-groups of the fundamental groups of these manifolds vanish whenever the fundamental group is torsion free. We also prove the same results for a class of real manifolds including a large class of 3-manifolds which has a finite sheeted cover fibering over the circle.

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