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arXiv · 1406.4722

Quasitoric manifolds and Small covers over properly colored polytopes: Immersions and Embeddings

Djordje Baralic·Vladimir Grujic
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Abstract

We construct small covers and quasitoric manifolds over $n$-dimensional simple polytopes which allow proper colorings of facets with $n$ colors. We calculate 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.

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Djordje Baralic, Vladimir Grujic. 2014-06-18. Quasitoric manifolds and Small covers over properly colored polytopes: Immersions and Embeddings. https://arxiv.org/abs/1406.4722

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