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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4248

Title: Manifold Spines and Hyperbolicity Equations
Authors: Ruini, Beatrice
Spaggiari, Fulvia
Keywords: 3-manifold
special spine
o-graph
gluing
hyperbolicity equations
Issue Date: 2001
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Citation: 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)
Abstract: 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.
URI: http://hdl.handle.net/10077/4248
ISSN: 0049-4704
MS Classification: 57M25
57M50
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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