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arXiv:1011.4084 [math.GT]AbstractReferencesReviewsResources

Three-manifolds and Kaehler groups

D. Kotschick

Published 2010-11-17, updated 2011-02-12Version 3

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.

Comments: 6 pages; corrected statement of Theorem 6; final version to appear in Ann. Inst. Fourier
Journal: Ann. Inst. Fourier, Grenoble 62 (2012), 1081--1090
Categories: math.GT, math.AG, math.CV, math.GR
Subjects: 32Q15, 57M05, 14F35, 32J15, 57M50
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