%0 Journal Article
%T A calculus for ideal triangulations of three-manifolds with embedded arcs
%A Gennaro Amendola
%J Mathematics
%D 2003
%I arXiv
%R 10.1002/mana.200310285
%X 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,a), where M is a three-manifold and a 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,a). Our proof does not assume the Matveev-Pergallini calculus for ideal triangulations, and actually easily implies this calculus.
%U http://arxiv.org/abs/math/0301219v1