NON-ORIENTABLE 3-MANIFOLDS ADMITTING COLORED TRIANGULATIONS WITH AT MOST 30 TETRAHEDRA

Author:

BANDIERI PAOLA1,CRISTOFORI PAOLA1,GAGLIARDI CARLO1

Affiliation:

1. Dipartimento di Matematica Pura ed Applicata, Università di Modena e Reggio Emilia, Via Campi 213 B, I-41100 MODENA, Italy

Abstract

We present the census of all non-orientable, closed, connected 3-manifolds admitting a rigid crystallization with at most 30 vertices. In order to obtain the above result, we generate, manipulate and compare, by suitable computer procedures, all rigid non-bipartite crystallizations up to 30 vertices.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Cited by 17 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Classifying compact 4-manifolds via generalized regular genus and G-degree;Annales de l’Institut Henri Poincaré D;2022-12-29

2. Minimal crystallizations of 3-manifolds with boundary;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2021-09-25

3. Regular genus and gem-complexity of some mapping tori;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2019-01-24

4. On the Question of Genericity of Hyperbolic Knots;International Mathematics Research Notices;2018-09-24

5. Topology in colored tensor models via crystallization theory;Journal of Geometry and Physics;2018-07

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