| Authors: | Baralić, Đorđe | Title: | Immersions and embeddings of quasitoric manifolds over the cube | Journal: | Publications de l'Institut Mathematique | Volume: | 95 | Issue: | 109 | First page: | 63 | Last page: | 71 | Issue Date: | 1-Jan-2014 | Rank: | M23 | ISSN: | 0350-1302 | DOI: | 10.2298/PIM1409063B | 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. |
Keywords: | Cube | Embeddings | Immersions | Quasitoric manifolds | Stiefel-Whitney classes | Publisher: | Mathematical Institute of the SASA | Project: | Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems |
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