论文标题
在虚拟结的Vassiliev不变
On Vassiliev Invariants of Virtual Knots
论文作者
论文摘要
我们讨论了虚拟结的Vassiliev不变性，扩展了Arxiv中开发的量子虚拟结理论：1509.00578。特别是，遵循“旋转”虚拟结的量子理论。我们定义了和弦图，重量系统，并给出了旋转虚拟结的Lie代数重量系统的示例。我们以对扩展量子不变的讨论结尾，这些量子不变式捕获了标准的旋转虚拟量子不变的信息。
We discuss Vassiliev invariants for virtual knots, expanding upon the theory of quantum virtual knot invariants developed in arXiv:1509.00578. In particular, following the theory of quantum invariants we work with 'rotational' virtual knots. We define chord diagrams, weight systems, and give examples of Lie algebra weight systems of rotational virtual knots. We end with a discussion of extended quantum invariants, which capture information that standard quantum invariants of rotational virtuals cannot.
