Mathematical Research Letters

Volume 20 (2013)

Number 3

Kählerian three-manifold groups

Pages: 521 – 525



D. Kotschick (Mathematisches Institut, LMU München, Germany)


We prove that if the fundamental group of an arbitrary three-manifold—not necessarily closed, nor orientable—is a Kähler group, then it is either finite or the fundamental group of a closed orientable surface.

2010 Mathematics Subject Classification

Primary 32Q15, 57M05, 57N10. Secondary 14F35, 20F05.

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