Journal article

Z(2)-Thurston norm and complexity of 3-manifolds, II

William Jaco, J Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann

ALGEBRAIC AND GEOMETRIC TOPOLOGY | GEOMETRY & TOPOLOGY PUBLICATIONS | Published : 2020

Abstract

In this sequel to earlier papers by three of the authors, we obtain a new bound on the complexity of a closed 3–manifold, as well as a characterisation of manifolds realising our complexity bounds. As an application, we obtain the first infinite families of minimal triangulations of Seifert fibred spaces modelled on Thurston’s geometry (formula presented).