| The Jones Polynomial for Polyhedral Links | |
| Jin, Xian'an ; Zhang, Fuji ; Jin XA(金贤安) | |
| 2011 | |
| 关键词 | KNOT-THEORY CLASSICAL CONJECTURES TUTTE POLYNOMIALS ARCHITECTURE INVARIANT TANGLES GRAPHS |
| 英文摘要 | National Natural Science Foundation of China [10831001]; In this paper, a general approach is presented to compute the Jones polynomial of polyhedral links introduced in [18]. We show that Jones polynomials of the whole family of polyhedral links based on a fixed polyhedron can be obtained in a unified way from the Tutte polynomial of the 1-skeleton of the polyhedron via special parametrizations. As applications, by using computer algebra (Maple) techniques, Jones polynomials of Platonic polyhedral links are obtained and used to detect the chirality of Platonic polyhedral links. |
| 语种 | 英语 |
| 内容类型 | 期刊论文 |
| 源URL | [http://dspace.xmu.edu.cn/handle/2288/66814]  |
| 专题 | 数学科学－已发表论文 |
| 推荐引用方式 GB/T 7714 | Jin, Xian'an,Zhang, Fuji,Jin XA. The Jones Polynomial for Polyhedral Links[J],2011. |
| APA | Jin, Xian'an,Zhang, Fuji,&金贤安.(2011).The Jones Polynomial for Polyhedral Links.. |
| MLA | Jin, Xian'an,et al."The Jones Polynomial for Polyhedral Links".(2011). |
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