Geodesic
Quasitoric manifolds and small covers over properly coloured polytopes: immersions and embeddings
Sbornik. Mathematics, Tome 207 (2016) no. 4, pp. 479-489

Voir la notice de l'article provenant de la source Math-Net.Ru

We construct small covers and quasitoric manifolds over $n$-dimensional simple polytopes which allow proper colourings of facets with $n$ colours. We calculate the Stiefel-Whitney classes of these manifolds as obstructions to immersions and embeddings into Euclidean spaces. The largest dimension required for embedding is achieved in the case $n$ is a power of two. Bibliography: 11 titles.
Keywords: embeddings, quasitoric manifolds, simple polytopes, colourings, Stiefel-Whitney classes. 
@article{SM_2016_207_4_a0,
     author = {D. Barali\'c and V. Gruji\'c},
     title = {Quasitoric manifolds and small covers over properly coloured polytopes: immersions and embeddings},
     journal = {Sbornik. Mathematics},
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     year = {2016},
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D. Baralić; V. Grujić. Quasitoric manifolds and small covers over properly coloured polytopes: immersions and embeddings. Sbornik. Mathematics, Tome 207 (2016) no. 4, pp. 479-489. http://geodesic.mathdoc.fr/item/SM_2016_207_4_a0/