Manifolds associated with (Z(2))(n+1)-colored regular graphs | |
Bao, Zhiqiang ; Lu, Zhi | |
2012 | |
关键词 | Colored regular graph skeletal expansion EQUIVARIANT COHOMOLOGY TORUS ACTIONS RING CLASSIFICATION SPACES |
英文摘要 | In this article we describe a canonical way to expand a certain kind of (Z(2))(n+1)-colored regular graphs into closed n-manifolds by adding cells determined by the edge-colorings inductively. We show that every closed combinatorial n-manifold can be obtained in this way. When n <= 3, we give simple equivalent conditions for a colored graph to admit an expansion. In addition, we show that if a (Z(2))(n+1)-colored regular graph admits an n-skeletal expansion, then it is realizable as the induced graph of an (n + 1)-dimensional closed (Z(2))(n+1)-manifold.; Mathematics, Applied; Mathematics; SCI(E); 1; ARTICLE; 1; 121-149; 24 |
语种 | 英语 |
出处 | SCI |
出版者 | forum mathematicum |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/314410] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Bao, Zhiqiang,Lu, Zhi. Manifolds associated with (Z(2))(n+1)-colored regular graphs. 2012-01-01. |
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