One-ended 3-manifolds without locally finite toric decompositions

Sylvain Maillot

doi:10.48550/arXiv.2011.05015

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One-ended 3-manifolds without locally finite toric decompositions

Journal article

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One-ended 3-manifolds without locally finite toric decompositions

Sylvain Maillot

Rendiconti dell'Istituto di Matematica dell'Universita di Trieste: an International Journal of Mathematics, Vol.55(4)

2023

DOI: https://doi.org/10.48550/arXiv.2011.05015

Abstract

We introduce a class of one-ended open 3-manifolds which can be 'recursively' defined from two compact 3-manifolds, and construct examples of manifolds in this class which fail to have a toric decomposition in the sense of Jaco-Shalen and Johannson.

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Title: One-ended 3-manifolds without locally finite toric decompositions
Creators - without role: Sylvain Maillot - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Publication Details: Rendiconti dell'Istituto di Matematica dell'Universita di Trieste: an International Journal of Mathematics, Vol.55(4)
Identifiers: 9943095209311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Journal article
Local Fields: hal-02997660