Immersions and embeddings of quasitoric manifolds over the cube | Zendy

Djordje Baralić | Zendy

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Immersions and embeddings of quasitoric manifolds over the cube

Author(s) -

Djordje Baralić

Publication year - 2014

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1409063b

Subject(s) - mathematics , manifold (fluid mechanics) , skew , pure mathematics , cube (algebra) , embedding , combinatorics , mathematical analysis , physics , mechanical engineering , astronomy , artificial intelligence , computer science , engineering

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. [Projekat Ministarstva nauke Republike Srbije, br. 174020]

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