%0 Journal Article
%T Two-sided bounds for the complexity of cyclic branched coverings of two-bridge links
%A Carlo Petronio
%A Andrei Vesnin
%J Mathematics
%D 2006
%I arXiv
%X We consider closed orientable 3-dimensional hyperbolic manifolds which are cyclic branched coverings of the 3-sphere, with branching set being a two-bridge knot (or link). We establish two-sided linear bounds depending on the order of the covering for the Matveev complexity of the covering manifold. The lower estimate uses the hyperbolic volume and results of Cao-Meyerhoff and Gueritaud-Futer (who recently improved previous work of Lackenby), while the upper estimate is based on an explicit triangulation, which also allows us to give a bound on the Delzant T-invariant of the fundamental group of the manifold.
%U http://arxiv.org/abs/math/0612830v2