Symplectic Lefschetz fibrations with arbitrary fundamental groups.

In this paper we give an explicit costruction 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 s...

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Detalles Bibliográficos
Autores: Amorós Torrent, Jaume|||0000-0002-3133-9985, Bogomolov, Fedor, Katzarkov, Ludmil, Pantev, Tony
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/965
Acceso en línea:https://hdl.handle.net/2117/965
Access Level:acceso abierto
Palabra clave:Differential geometry
Differential topology
Lefschetz fibrations
fundamental groups
Topologia diferencial
Classificació AMS::57 Manifolds and cell complexes::57R Differential topology
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Descripción
Sumario:In this paper we give an explicit costruction 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.