Symplectic lefschetz fibrations with arbitrary fundamental groups

J. Amorós; F. Bogomolov; L. Katzarkov; T. Pantev

doi:10.4310/jdg/1214339791

Symplectic lefschetz fibrations with arbitrary fundamental groups

J. Amorós, F. Bogomolov, L. Katzarkov, T. Pantev

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we give an explicit construction of a symplectic Lefschetz fibration whose total space is a smooth compact four dimensional manifold with a prescribed fundamental group. We also study the numerical properties of the sections in symplectic Lefschetz fibrations and their relation to the structure of the monodromy group.

Original language	English (US)
Pages (from-to)	489-545
Number of pages	57
Journal	Journal of Differential Geometry
Volume	54
Issue number	3
DOIs	https://doi.org/10.4310/jdg/1214339791
State	Published - 2000

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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abstract = "In this paper we give an explicit construction of a symplectic Lefschetz fibration whose total space is a smooth compact four dimensional manifold with a prescribed fundamental group. We also study the numerical properties of the sections in symplectic Lefschetz fibrations and their relation to the structure of the monodromy group.",

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AU - Katzarkov, L.

AU - Pantev, T.

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AB - In this paper we give an explicit construction of a symplectic Lefschetz fibration whose total space is a smooth compact four dimensional manifold with a prescribed fundamental group. We also study the numerical properties of the sections in symplectic Lefschetz fibrations and their relation to the structure of the monodromy group.

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DO - 10.4310/jdg/1214339791

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JO - Journal of Differential Geometry

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Symplectic lefschetz fibrations with arbitrary fundamental groups

Abstract

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