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- Title
Which 3-manifold groups are Kähler groups?
- Authors
Dimca, Alexandru; Suciu, Alexander I.
- 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 Kahler manifold, then G must be finite—and thus belongs to the well-known list of finite subgroups of O(4), acting freely on S³.
- Subjects
KAHLERIAN manifolds; FUNDAMENTAL groups (Mathematics); FINITE groups; HOMOLOGY theory; THREE-manifolds (Topology); ISOTROPY subgroups
- Publication
Journal of the European Mathematical Society (EMS Publishing), 2009, Vol 11, Issue 3, p521
- ISSN
1435-9855
- Publication type
Article
- DOI
10.4171/jems/158