Equilibrium triangulations of some quasitoric 4-manifolds

2015/07/25 by Datta, Basudeb, Sarkar, Soumen
#05E18 #52B05 #57Q15 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1507.07071

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 \CP². 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.

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• Tight triangulations of some 4-manifolds
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