2017, Jaco, William, Rubinstein, J. Hyam, Spreer, Jonathan, Tillmann, Stephan

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 SL2(R)˜.