Kählerian three-manifold groups

2013/01/01 by D. Kotschick · 4 citations
Chemistry · Mathematics · #3-manifold #Chemistry #Closed manifold #Combinatorics #Fundamental group #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Geometry and complex manifolds #Group (periodic table) #Invariant manifold #Manifold (fluid mechanics) #Mathematics #Pure mathematics #Surface (topology) #math.AG #math.CV #math.GR #math.GT #msc:14F35 #msc:20F05 #msc:32Q15 #msc:57M05 #msc:57N10

paper · pdf · doi:10.4310/mrl.2013.v20.n3.a9

published in Mathematical Research Letters 20(3), 521-525 (International Press of Boston) · 4 pages

openalex publication_date 2013/01/01 · arxiv created 2013/01/07 · arxiv updated 2014/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We prove that if the fundamental group of an arbitrary three-manifoldnot necessarily closed, nor orientable -is a Khler group, then it is either finite or the fundamental group of a closed orientable surface.

Citations

• Three-manifolds and Kähler groups
• A Unique Decomposition Theorem for 3-Manifolds
• Finitely Generated 3-Manifold Groups are Finitely Presented