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.
2001
32
333
374
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.
Ruini, Beatrice; Spaggiari, Fulvia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/310248
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