Three-manifolds and Kaehler groups
Geometric Topology
2016-03-03 v3 Algebraic Geometry
Complex Variables
Group Theory
Abstract
We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kaehler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is both the fundamental group of a closed three-manifold and of a non-Kaehler compact complex surface is infinite cyclic or the direct product of an infinite cyclic group and a group of order two.
Keywords
Cite
@article{arxiv.1011.4084,
title = {Three-manifolds and Kaehler groups},
author = {D. Kotschick},
journal= {arXiv preprint arXiv:1011.4084},
year = {2016}
}
Comments
6 pages; corrected statement of Theorem 6; final version to appear in Ann. Inst. Fourier