On fundamental groups of symplectically aspherical manifolds II: Abelian groups

J. Kedra; Yu. Rudyak; A. Tralle

doi:10.1007/s00209-007-0105-8

On fundamental groups of symplectically aspherical manifolds II: Abelian groups

J. Kedra, Yu. Rudyak, A. Tralle

Mathematical Science

Research output: Contribution to journal › Article

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	825-835
Number of pages	11
Journal	Mathematische Zeitschrift
Volume	256
Issue number	4
Early online date	17 Feb 2007
DOIs	https://doi.org/10.1007/s00209-007-0105-8
Publication status	Published - Aug 2007

Keywords

symplectically aspherical
Lefschetz fibration
fundamental group

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title = "On fundamental groups of symplectically aspherical manifolds II: Abelian groups",

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.",

keywords = "symplectically aspherical, Lefschetz fibration, fundamental group",

author = "J. Kedra and Yu. Rudyak and A. Tralle",

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AU - Rudyak, Yu.

AU - Tralle, A.

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N2 - 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.

AB - 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.

KW - symplectically aspherical

KW - Lefschetz fibration

KW - fundamental group

U2 - 10.1007/s00209-007-0105-8

DO - 10.1007/s00209-007-0105-8

M3 - Article

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EP - 835

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 4

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On fundamental groups of symplectically aspherical manifolds II: Abelian groups

Abstract

Keywords

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