Blowdown, k-wedge and evenness of quasitoric orbifolds

Abstract

In this paper, we introduce polytopal k-wedge construction and blowdown of a simple polytope and inspect the effect on the retraction sequence of a simple polytope due to the k-wedge construction and blowdown. In relation to these constructions, we introduce the k-wedge and blowdown of a quasitoric orbifold. We compare the torsions in the integral cohomologies of k-wedges and blowdowns of a quasitoric orbifold with the original one. These two constructions provide infinitely many integrally equivariantly formal quasitoric orbifolds from a given one.