Open 3-manifolds whose fundamental groups have infinite center, and a torus theorem for 3-orbifolds

Sylvain Maillot

doi:10.1090/S0002-9947-03-03319-1

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Open 3-manifolds whose fundamental groups have infinite center, and a torus theorem for 3-orbifolds

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Open 3-manifolds whose fundamental groups have infinite center, and a torus theorem for 3-orbifolds

Sylvain Maillot

Transactions of the American Mathematical Society, Vol.355(11), pp.4595-4638

11/2003

DOI: https://doi.org/10.1090/S0002-9947-03-03319-1

Résumé

Research article

Our main result is a characterization of open Seifert fibered 33-manifolds in terms of the fundamental group and large-scale geometric properties of a triangulation. As an application, we extend the Seifert Fiber Space Theorem and the Torus Theorem to a class of 33-orbifolds.

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Détails

Titre: Open 3-manifolds whose fundamental groups have infinite center, and a torus theorem for 3-orbifolds
Créateurs - sans rôle: Sylvain Maillot - Département de Mathématiques, Université du Québec à Montréal, Case postale 8888 succursale centre-ville, Montréal, Canada H3C 3P8
Détails de publication: Transactions of the American Mathematical Society, Vol.355(11), pp.4595-4638
Éditeur: American Mathematical Society
Nombre de pages: 44
Identifiants: 99162765009311
Unité académique: Institut Montpelliérain Alexander Grothendieck - IMAG
Langue: English
Type de ressource: Journal article