On Equilibrium Triangulations of Quasitoric Manifolds

Quasitoric manifolds, introduced by Davis and Januskiewicz in their seminal paper in 1991, are topological generalizations of smooth complex projective spaces. In 1992, Banchoff and Kuhnel constructed a 10-vertex equilibrium triangulations of CP2. We generalize this construction for quasitoric manifolds providing an algorithm and construct equilibrium triangulation of several quasitoric manifolds. In some cases our construction give vertex minimal equilibrium triangulations.