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.
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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