Which 3manifold groups are Kähler groups?
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 3manifold and of a compact Kähler manifold, then G must be finite, and thus belongs to the wellknown list of finite subgroups of O(4).
 Publication:

arXiv eprints
 Pub Date:
 September 2007
 arXiv:
 arXiv:0709.4350
 Bibcode:
 2007arXiv0709.4350D
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Geometric Topology;
 20F34;
 32J27;
 57N10 (Primary);
 14F35;
 55N25 (Secondary)
 EPrint:
 8 pages, accepted for publication in the Journal of the European Mathematical Society