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Classifying Genus Two 3-Manifolds up to 34 Tetrahedra

Classifying Genus Two 3-Manifolds up to 34 Tetrahedra In this paper, we present a catalogue of all genus two 3-manifolds admitting a contracted triangulation with at most 34 simplexes. Then we give a complete classification of the above manifolds. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Classifying Genus Two 3-Manifolds up to 34 Tetrahedra

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References (25)

Publisher
Springer Journals
Copyright
Copyright © 2005 by Springer
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-004-7027-9
Publisher site
See Article on Publisher Site

Abstract

In this paper, we present a catalogue of all genus two 3-manifolds admitting a contracted triangulation with at most 34 simplexes. Then we give a complete classification of the above manifolds.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Dec 1, 2004

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