The fibered isomorphism conjecture for complex manifolds

Mathematics – Geometric Topology

Scientific paper

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accepted for publication in Acta Mathematica Sinica, English Series

Scientific paper

10.1007/s10114-005-0759-2

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 large 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 group of these manifolds vanish whenever the fundamental group is torsion free. We also prove the same results for a class of real manifolds.

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