Toric origami structures on quasitoric manifolds
Autor: | Haozhi Zeng, Seonjeong Park, Anton Ayzenberg, Mikiya Masuda |
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Jazyk: | angličtina |
Rok vydání: | 2014 |
Předmět: |
Dimension (graph theory)
Computer Science::Computational Geometry Manifold Combinatorics Simplicial complex Mathematics (miscellaneous) Mathematics - Symplectic Geometry Metric (mathematics) FOS: Mathematics 57S15 53D20 (Primary) 14M25 52B20 52B10 05C10 (Secondary) Algebraic Topology (math.AT) Symplectic Geometry (math.SG) Mathematics - Combinatorics Combinatorics (math.CO) Mathematics - Algebraic Topology Mathematics::Symplectic Geometry Mathematics |
Popis: | 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 existence of planar triangulations with certain coloring and metric properties. 19 pages, 7 figures |
Databáze: | OpenAIRE |
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