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Toric origami structures on quasitoric manifolds

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Abstract

We construct quasitoric manifolds of dimension 6 and higher which are not equivariantly homeomorphic to any toric origami manifold. All necessary topological definitions and combinatorial constructions are given, and the statement is reformulated in discrete geometrical terms. The problem reduces to the existence of planar triangulations with certain coloring and metric properties.

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Authors and Affiliations

  1. Department of Mathematics, Osaka City University, 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, Japan

    Anton A. Ayzenberg, Mikiya Masuda & Haozhi Zeng

  2. Division of Mathematical Models, National Institute for Mathematical Sciences, 463-1 Jeonmin-dong, Yuseonggu, Daejeon, 305-811, Korea

    Seonjeong Park

Authors
  1. Anton A. Ayzenberg
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  2. Mikiya Masuda
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  3. Seonjeong Park
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  4. Haozhi Zeng
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Correspondence to Anton A. Ayzenberg.

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Ayzenberg, A.A., Masuda, M., Park, S. et al. Toric origami structures on quasitoric manifolds. Proc. Steklov Inst. Math. 288, 10–28 (2015). https://doi.org/10.1134/S0081543815010022

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  • DOI: https://doi.org/10.1134/S0081543815010022

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