Which 3-manifold groups are Kahler groups?

被引:0
作者
Dimca, Alexandru [1 ]
Suciu, Alexander I. [2 ]
机构
[1] Univ Nice, Lab JA Dieudonne, UMR CNRS 6621, F-06108 Nice 02, France
[2] Northeastern Univ, Dept Math, Boston, MA 02115 USA
关键词
Kahler manifold; 3-manifold; fundamental group; cohomology ring; resonance variety; isotropic subspace; FUNDAMENTAL GROUP; VARIETIES; MANIFOLDS; MODULI;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The question in the title, first raised by Goldman and Donaldson, was partially answered by Reznikov. We give a complete answer, as follows: if G can be realized as both the fundamental group of a closed 3-manifold and of a compact Kahler manifold, then G must be finite-and thus belongs to the well-known list of finite subgroups of O(4), acting freely on S-3.
引用
收藏
页码:521 / 528
页数:8
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