Toric origami structures on quasitoric manifolds
Algebraic Topology
2015-05-08 v2 Combinatorics
Symplectic Geometry
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 existence of planar triangulations with certain coloring and metric properties.
Cite
@article{arxiv.1409.6855,
title = {Toric origami structures on quasitoric manifolds},
author = {Anton Ayzenberg and Mikiya Masuda and Seonjeong Park and Haozhi Zeng},
journal= {arXiv preprint arXiv:1409.6855},
year = {2015}
}
Comments
19 pages, 7 figures