Khovanov-Rozansky 同调与有向圈
组合数学
2017-03-30 v4 交换代数
摘要
我们使用初等射影代数几何确定了有向图的圈装填数。我们的想法根植于 Khovanov-Rozansky 理论。事实上,利用图的 Khovanov-Rozansky 同调,我们还获得了检测包含特定顶点或边的有向圈与无向圈的代数方法。
引用
@article{arxiv.1508.07337,
title = {Khovanov-Rozansky homology and Directed Cycles},
author = {Hao Wu},
journal= {arXiv preprint arXiv:1508.07337},
year = {2017}
}
备注
28 pages, no figures. Version 3: added a computation of the cycle packing number; Version 4: minor updates and corrections