On fundamental groups of symplectically aspherical manifolds II: abelian groups

2006/06/16 by J. Kedra, Jarek Kędra, Yu. B. Rudyak +6 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Geometric and Algebraic Topology #Geometry and complex manifolds #math.AT #math.SG #msc:14F35 #msc:32S50 #msc:53D05 #msc:55R55 #msc:57R15 #msc:57R17 #msc:57R22

paper · pdf · doi:10.48550/arxiv.math/0606400

Latex, 14 pages

arxiv created 2006/06/16 · arxiv updated 2009/12/01

Abstract

We describe all abelian groups which can appear as the fundamental groups of closed symplectically aspherical manifolds. The proofs use the theory of symplectic Lefschetz fibrations.

Cited by

• On totally symplectically aspherical manifolds
• Symplectically aspherical Kähler manifolds, scalar curvature, and the fundamental group

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