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Title: Manifold Spines and Hyperbolicity Equations
Authors: Ruini, Beatrice
Spaggiari, Fulvia
Keywords: 3-manifoldspecial spineo-graphgluinghyperbolicity equations
Issue Date: 2001
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source: Beatrice Ruini and Fulvia Spaggiari, "Manifold spines and hyperbolicity equations", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 333–374.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
We give a combinatorial representation of compact
connected orientable 3-dimensional manifolds with boundary and
their special spines by a class of graphs with extrastructure which
are strictly related to o-graphs defined and studied in [3] and [4].
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.
Type: Article
ISSN: 0049-4704
Appears in Collections:Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.32 (2001) s1

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