Which 3-manifold groups are K\"ahler groups?
Algebraic Geometry
2010-10-26 v2 Geometric Topology
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 K\"ahler manifold, then G must be finite, and thus belongs to the well-known list of finite subgroups of O(4).
Keywords
Cite
@article{arxiv.0709.4350,
title = {Which 3-manifold groups are K\"ahler groups?},
author = {Alexandru Dimca and Alexander I. Suciu},
journal= {arXiv preprint arXiv:0709.4350},
year = {2010}
}
Comments
8 pages, accepted for publication in the Journal of the European Mathematical Society