Three-manifolds and Kaehler groups

D. Kotschick

doi:10.5802/aif.2717

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arXiv · 1011.4084

Three-manifolds and Kaehler groups

D. Kotschick

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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.

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BibTeX RIS

D. Kotschick. 2011-02-12. Three-manifolds and Kaehler groups. https://doi.org/10.5802/aif.2717

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