Equilibrium triangulations of some quasitoric 4-manifolds

Abstract

Quasitoric manifolds, introduced by M. Davis and T. Januskiewicz in 1991, are topological generalizations of smooth complex projective spaces. In 1992, Banchoff and Kühnel constructed a 10-vertex equilibrium triangulations of $\CP^2$. We generalize this construction for quasitoric manifolds and construct some equilibrium triangulations of $4$-dimensional quasitoric manifolds. In some cases, our constructions give vertex minimal equilibrium triangulations.

39 pages, 9 figures

References in corpus (1)

• Triangulated Manifolds with Few Vertices: Combinatorial Manifolds