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Sbornik: Mathematics, 2016, Volume 207, Issue 4, Pages 479–489
DOI: https://doi.org/10.1070/SM8401 (Mi sm8401) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Quasitoric manifolds and small covers over properly coloured polytopes: immersions and embeddings

D. Baralića, V. Grujićb

a Mathematical Institute of Serbian Academy of Sciences and Arts, Belgrade, Serbia
b Faculty of Mathematics, University of Belgrade, Serbia
English version PDF (465 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM8401
Abstract: 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.
Funding agency Grant number
Ministry of Education, Science and Technical Development of Serbia 174020
174034
Ministry of Science and Technology of Republic of Srpska 19/6-020/961-120/14
This work was supported by the Ministry of Education, Science and Technological developments of the Republic of Serbia (grant nos. 174020 and 174034) and by the Ministry of Science and Technology of the Republika Srpska, Bosnia and Herzegovina (grant no. 19/6-020/961-120/14).
Received: 08.07.2014 and 26.12.2015
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 4, Pages 3–14
DOI: https://doi.org/10.4213/sm8401
Bibliographic databases:
Document Type: Article
UDC: 515.164.6
MSC: 57N35, 52B12
Language: English
Original paper language: Russian
Citation: D. Baralić, V. Grujić, “Quasitoric manifolds and small covers over properly coloured polytopes: immersions and embeddings”, Mat. Sb., 207:4 (2016), 3–14; Sb. Math., 207:4 (2016), 479–489
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:374
    Russian version PDF:126
    English version PDF:10
    References:57
    First page:49
     
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