Publications de l'Institut Mathématique, Nouvelle Série Vol. 95[109], pp. 63–71 (2014) 

IMMERSIONS AND EMBEDDINGS OF QUASITORIC MANIFOLDS OVER THE CUBE{\DJ}or{\dj}e BaralicMathematical Institute SASA, Belgrade, SerbiaAbstract: A quasitoric manifold $M^{2n}$ over the cube $I^n$ is studied. The Stiefel–Whitney classes are calculated and used as the obstructions for immersions, embeddings and totally skew embeddings. The manifold $M^{2n}$, when $n$ is a power of 2, has interesting properties: $\operatorname{imm}(M^{2n})=4n2$, $\operatorname{em}(M^{2n})=4n1$ and $N(M^{2n})\geq 8n3$. Keywords: quasitoric manifolds, the cube, the Stiefel–Whitney classes, immersions, embeddings Classification (MSC2000): 57N35, 57R20; 52B20 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 31 Mar 2014. This page was last modified: 2 Apr 2014.
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