%0 Journal Article %1 Suciu:ds09 %A Dimca, Alexandru %A Suciu, Alexander I. %D 2009 %J Journal of the European Mathematical Society (JEMS) %K Alex %N 3 %P 521-528 %T Which 3-manifold groups are Kähler groups? %U http://dx.doi.org/10.4171/JEMS/158 %V 11 %X 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 $S^3$.

@article{Suciu:ds09, 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{\"{a}}hler manifold, then $G$ must be finite, and thus belongs to the well-known list of finite subgroups of ${\rm O}(4)$, acting freely on $S^3$.}, added-at = {2009-12-28T02:04:53.000+0100}, arxiv = {http://arxiv.org/abs/0709.4350}, author = {Dimca, Alexandru and Suciu, Alexander I.}, biburl = {https://www.bibsonomy.org/bibtex/29c123f61bd0c6febdc1b80f9a404ba89/asuciu}, interhash = {5e43022f9da7a837fc1906fa1201955d}, intrahash = {9c123f61bd0c6febdc1b80f9a404ba89}, journal = {Journal of the European Mathematical Society (JEMS)}, keywords = {Alex}, mrclass = {20F34 (32J27, 57N10)}, mrnumber = {2505439}, number = 3, pages = {521-528}, timestamp = {2009-12-28T02:04:53.000+0100}, title = {Which 3-manifold groups are {K}{\"a}hler groups?}, url = {http://dx.doi.org/10.4171/JEMS/158}, volume = 11, year = 2009, zblnumber = {05565389} }