Refining the notion of an ideal triangulation of a compact three-manifold, we provide in this paper a combinatorial presentation of the set of pairs (M,α), where M is a three-manifold and α is a collection of properly embedded arcs. We also show that certain well-understood combinatorial moves are sufficient to relate to each other any two refined triangulations representing the same (M,α). Our proof does not assume the Matveev-Piergallini calculus for ideal triangulations, and actually easily implies this calculus.

Amendola, G. (2005). A calculus for ideal triangulations of three-manifolds with embedded arcs. MATHEMATISCHE NACHRICHTEN, 278(9), 975-994 [10.1002/mana.200310285].

A calculus for ideal triangulations of three-manifolds with embedded arcs

AMENDOLA, GENNARO
2005

Abstract

Refining the notion of an ideal triangulation of a compact three-manifold, we provide in this paper a combinatorial presentation of the set of pairs (M,α), where M is a three-manifold and α is a collection of properly embedded arcs. We also show that certain well-understood combinatorial moves are sufficient to relate to each other any two refined triangulations representing the same (M,α). Our proof does not assume the Matveev-Piergallini calculus for ideal triangulations, and actually easily implies this calculus.
Articolo in rivista - Articolo scientifico
3-manifold, triangulation, presentation, calculus
English
975
994
Amendola, G. (2005). A calculus for ideal triangulations of three-manifolds with embedded arcs. MATHEMATISCHE NACHRICHTEN, 278(9), 975-994 [10.1002/mana.200310285].
Amendola, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/8644
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