A survey on Seifert fiber space theorem

DOI10.1155/2014/694106zbMath1293.57001OpenAlexW2032142743WikidataQ59048896 ScholiaQ59048896MaRDI QIDQ2014757

Jean-Philippe Préaux

Publication date: 16 June 2014

Published in: ISRN Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/694106

zbMATH Keywords

fundamental groupPoincaré conjectureSeifert fiber spacesgeometrization conjecturecyclic normal subgroup

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02)

Related Items

Integral foliated simplicial volume and circle foliations, On a conjecture of Meeks, Pérez and Ros

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fundamental groups of 3-folds and operator algebras
• There are no fake Seifert fibre spaces with infinite \(\pi_1\).
• A note on tours knots and links determined by their groups
• Cyclic normal subgroups of fundamental groups of 3-manifolds
• Convergence groups and Seifert fibered 3-manifolds
• Topologie dreidimensionaler gefaserter Räume
• Multiplicity in algebra and geometry
• Geometrisation of 3-manifolds
• Eine Kennzeichnung der Torusknoten
• Gruppen mit Zentrum und 3-dimensionale Mannigfaltigkeiten
• Periodic flows on three-manifolds
• Seifert manifolds
• A New Proof of the Annulus and Torus Theorems
• RECOGNIZING NONORIENTABLE SEIFERT BUNDLES
• On the Torus Theorem and its Applications
• On the Torus Theorem for Closed 3-Manifolds
• The Seifert Fiber Space Conjecture and Torus Theorem for Nonorientable 3-Manifolds
• Open 3-manifolds whose fundamental groups have infinite center, and a torus theorem for 3-orbifolds
• Planar groups and the Seifert conjecture
• The Geometries of 3-Manifolds
• Remarks on torus knots
• Convergence groups are Fuchsian groups
• Quasi-isometries of groups, graphs and surfaces