由交图导出的一些权系统
几何拓扑
2007-05-23 v3 组合数学
摘要
我们证明了弦图的交图的邻接矩阵满足 Bar-Natan 与 Garoufalides [bg] 的二项关系，从而给出权系统。这些权系统中包含与 Conway 多项式和 HOMFLYPT 多项式相关联者。我们将这些思想推广到考察模于扩充的二项关系集合的带标记弦图空间，定义该空间的一组生成元，并再次由（带标记的）交图的邻接矩阵导出权系统。这些权系统中包含与 Kauffman 多项式相关联者。
引用
@article{arxiv.math/0004080,
title = {A few weight systems arising from intersection graphs},
author = {Blake Mellor},
journal= {arXiv preprint arXiv:math/0004080},
year = {2007}
}
备注
20 pages. This version has been substantially revised. The results are largely the same, but the proofs have been reconceptualized in terms of various 2-term relations on chord diagrams and graphs