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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 288, Pages 16–37
DOI: https://doi.org/10.1134/S0371968515010021 (Mi tm3610) 		 
Toric origami structures on quasitoric manifolds

A. A. Aizenberga, M. Masudaa, Seonjeong Parkb, Haozhi Zenga

a Department of Mathematics, Osaka City University, Sumiyoshi-ku, Osaka 558-8585, Japan
b Division of Mathematical Models, National Institute for Mathematical Sciences, 463-1 Jeonmin-dong, Yuseong-gu, Daejeon 305-811, Korea
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DOI: https://doi.org/10.1134/S0371968515010021
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.
Funding agency Grant number
Japan Society for the Promotion of Science
Received in September 2014
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 288, Pages 10–28
DOI: https://doi.org/10.1134/S0081543815010022
Bibliographic databases:
Document Type: Article
UDC: 515.164.8
Language: Russian
Citation: A. A. Aizenberg, M. Masuda, Seonjeong Park, Haozhi Zeng, “Toric origami structures on quasitoric manifolds”, Geometry, topology, and applications, Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 288, MAIK Nauka/Interperiodica, Moscow, 2015, 16–37; Proc. Steklov Inst. Math., 288 (2015), 10–28
Citation in format AMSBIB
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\paper Toric origami structures on quasitoric manifolds
\inbook Geometry, topology, and applications
\bookinfo Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 288
\pages 16--37
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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