Which 3-manifold groups are Kähler groups?

• Autores: Alexandru Dimca, Alexander I. Suciu
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 11, Nº 3, 2009, págs. 521-528
• Idioma: inglés
• DOI: 10.4171/jems/158
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.