Toric origami structures on quasitoric manifolds

被引：0
作者：
Anton A. Ayzenberg
Mikiya Masuda
Seonjeong Park
Haozhi Zeng
机构：
[1] Osaka City University,Department of Mathematics
[2] National Institute for Mathematical Sciences,Division of Mathematical Models
来源：
Proceedings of the Steklov Institute of Mathematics | 2015年 / 288卷
关键词：
STEKLOV Institute; Simplicial Complex; Orbit Space; Characteristic Pair; Quasitoric Manifold;
D O I：
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中图分类号：
学科分类号：
摘要：
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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页码：10 / 28
页数：18
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