森林箭图的HOMFLY多项式
组合数学
2026-04-20 v2 几何拓扑
摘要
我们利用箭图底层图上的递归定义，定义了森林箭图的HOMFLY多项式。然后我们证明，该多项式等于任何来自连通plabic图（其箭图为）的plabic链环的HOMFLY多项式。我们还证明了森林箭图的HOMFLY多项式用的独立集表示的闭式表达式。
引用
@article{arxiv.2410.00399,
title = {The HOMFLY Polynomial of a Forest Quiver},
author = {Amanda Schwartz},
journal= {arXiv preprint arXiv:2410.00399},
year = {2026}
}
备注
29 pages, 25 figures; Version 2 contains a closed formula for the HOMFLY polynomial which generalizes the formula for the Alexander polynomial from version 1