Which 3-manifold groups are Kähler groups?
Alexandru Dimca
Université de Nice Sophia Antipolis, FranceAlexander I. Suciu
Northeastern University, Boston, USA
Abstract
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 Kähler manifold, then G must be finite—and thus belongs to the well-known list of finite subgroups of O(4), acting freely on S3.
Cite this article
Alexandru Dimca, Alexander I. Suciu, Which 3-manifold groups are Kähler groups?. J. Eur. Math. Soc. 11 (2009), no. 3, pp. 521–528
DOI 10.4171/JEMS/158