A fibering theorem for 3-manifolds

TL;DR

This paper extends previous theorems on fibering 3-manifolds and 2-manifolds over the circle, broadening the understanding of when such manifolds can be decomposed into fibered structures.

Contribution

It generalizes earlier results by Moon and Griffiths, providing new conditions under which 3-manifolds and 2-manifolds fiber over the circle.

Findings

Generalized fibering conditions for 3-manifolds

Extended Griffiths' theorem to broader classes of 2-manifolds

Enhanced understanding of manifold fibering structures

Abstract

An erratum to this article is posted at https://gcc.episciences.org/page/errata This paper generalizes results of M. Moon on the fibering of certain compact 3-manifolds over the circle. It also generalizes a theorem of H. B. Griffiths on the fibering of certain 2-manifolds over the circle.