Work

The multiple fibration problem for seifert 3-Orbifolds

Year: 2025

Type: article

Abstract: ABSTRACT We conclude the multiple fibration problem for closed orientable Seifert three-orbifolds, namely, the determination of all the inequivalent fibrations that such an orbifold may admit. We treat here geometric orbifolds with geometries $\mathbb R^3$ and $\mathbb S^2\times\mathbb R$ and bad orbifolds (hence non-geometric), since the only other geometry for which the multiple fibration phenomenon occurs, namely, $\mathbb S^3$, has been treated before by the second and third authors. For the geometry $\mathbb R^3$ we recover, by direct and geometric arguments, the computer-assisted results obtained by Conway, Delgado-Friedrichs, Huson and Thurston.

Source: The Quarterly Journal of Mathematics

DOI: 10.1093/qmath/haaf009

Authors: Oliviero Malech, Mattia Mecchia, Andrea Seppi

Institutions: Scuola Internazionale Superiore di Studi Avanzati, University of Trieste, University of Turin

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,241

Funders: Agence Nationale de la Recherche, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni