| The Fibered Isomorphism Conjecture for Complex Manifolds |
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| 作者姓名： | S. K. ROUSHON |
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| 作者单位： | School of Mathematics, Tata Institute, Homi Bhabha Road, Mumbai 400 005, India |
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| 摘 要： |
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| 关 键 词： | 复杂流形 纤维同构 猜想 复杂表面 |
| 修稿时间： | 2004-05-212005-02-17 |
The Fibered Isomorphism Conjecture for Complex Manifolds |
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| S. K. ROUSHON.The Fibered Isomorphism Conjecture for Complex Manifolds[J].Acta Mathematica Sinica,2007,23(4):639-658. |
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| Authors: | S K Roushon |
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| Institution: | (1) School of Mathematics, Tata Institute, Homi Bhabha Road, Mumbai 400 005, India |
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| 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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| Keywords: | Complex projective variety Complex surfaces Whitehead group Fibered isomorphism conjecture Negative K-groups |
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