Immersions and embeddings of quasitoric manifolds over the cube

Abstract

A quasitoric manifold M2n over the cube In is studied. The Stiefel-Whitney classes are calculated and used as the obstructions for immersions, embeddings and totally skew embeddings. The manifold M2n, when n is a power of 2, has interesting properties: imm(M2n) = 4n-2, em(M2n) = 4n-1 and N(M2n) ≥ 8n-3.