The fibered isomorphism conjecture for complex manifolds
几何拓扑
2011-03-03 v6 代数几何
摘要
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.
引用
@article{arxiv.math/0209119,
title = {The fibered isomorphism conjecture for complex manifolds},
author = {S. K. Roushon},
journal= {arXiv preprint arXiv:math/0209119},
year = {2011}
}
备注
accepted for publication in Acta Mathematica Sinica, English Series