We give a combinatorial representation of compact connected orientable 3-manifolds with boundary and their special spines by a class of graphs with extrastructure which are strictly related to o-graphs. Then we describe a simple algorithm for constructing the boundary of these manifolds by using a list of 6-tuples of non-negative integers. Finally we discuss some combinatorial methods for determining the hyperbolicity equations. Examples of hyperbolic 3-manifolds of low complexity illustrate in particular cases the constructions and algorithms presented in the paper.
Manifolds spines and hyperbolicity equations / Ruini, Beatrice; Spaggiari, Fulvia. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - STAMPA. - 32:(2001), pp. 333-374.
Manifolds spines and hyperbolicity equations
RUINI, Beatrice;SPAGGIARI, Fulvia
2001
Abstract
We give a combinatorial representation of compact connected orientable 3-manifolds with boundary and their special spines by a class of graphs with extrastructure which are strictly related to o-graphs. Then we describe a simple algorithm for constructing the boundary of these manifolds by using a list of 6-tuples of non-negative integers. Finally we discuss some combinatorial methods for determining the hyperbolicity equations. Examples of hyperbolic 3-manifolds of low complexity illustrate in particular cases the constructions and algorithms presented in the paper.
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
