Geodesic
Which 3-manifold groups are Kähler groups?
Journal of the European Mathematical Society, Tome 11 (2009) no. 3, pp. 521-528 Cet article a éte moissonné depuis la source EMS Press

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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.
DOI : 10.4171/jems/158
Classification : 20-XX, 32-XX, 00-XX
Keywords: Kähler manifold, 3-manifold, fundamental group, cohomology ring, resonance variety, isotropic subspace 
@article{JEMS_2009_11_3_a2,
     author = {Alexandru Dimca and Alexander I. Suciu},
     title = {Which 3-manifold groups are {K\"ahler} groups?},
     journal = {Journal of the European Mathematical Society},
     pages = {521--528},
     year = {2009},
     volume = {11},
     number = {3},
     doi = {10.4171/jems/158},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/158/}
}
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Alexandru Dimca; Alexander I. Suciu. Which 3-manifold groups are Kähler groups?. Journal of the European Mathematical Society, Tome 11 (2009) no. 3, pp. 521-528. doi: 10.4171/jems/158

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