# Which 3-manifold groups are Kähler groups?

Alexandru Dimca; Alexander Suciu

Journal of the European Mathematical Society (2009)

- Volume: 011, Issue: 3, page 521-528
- ISSN: 1435-9855

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topDimca, Alexandru, and Suciu, Alexander. "Which 3-manifold groups are Kähler groups?." Journal of the European Mathematical Society 011.3 (2009): 521-528. <http://eudml.org/doc/277585>.

@article{Dimca2009,

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 Kähler manifold, then $G$ must be finite—and thus belongs to the well-known list of finite subgroups of $\operatorname\{O\}(4)$, acting freely on $S^3$.},

author = {Dimca, Alexandru, Suciu, Alexander},

journal = {Journal of the European Mathematical Society},

keywords = {Kähler manifold; 3-manifold; fundamental group; cohomology ring; resonance variety; isotropic subspace; Kähler manifold; 3-manifold; fundamental group; cohomology ring; resonance variety; isotropic subspace},

language = {eng},

number = {3},

pages = {521-528},

publisher = {European Mathematical Society Publishing House},

title = {Which 3-manifold groups are Kähler groups?},

url = {http://eudml.org/doc/277585},

volume = {011},

year = {2009},

}

TY - JOUR

AU - Dimca, Alexandru

AU - Suciu, Alexander

TI - Which 3-manifold groups are Kähler groups?

JO - Journal of the European Mathematical Society

PY - 2009

PB - European Mathematical Society Publishing House

VL - 011

IS - 3

SP - 521

EP - 528

AB - 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 $\operatorname{O}(4)$, acting freely on $S^3$.

LA - eng

KW - Kähler manifold; 3-manifold; fundamental group; cohomology ring; resonance variety; isotropic subspace; Kähler manifold; 3-manifold; fundamental group; cohomology ring; resonance variety; isotropic subspace

UR - http://eudml.org/doc/277585

ER -

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