论文标题
连接到表面链接的Quandles和1 Handles的张量
Tensor products of quandles and 1-handles attached to surface-links
论文作者
论文摘要
一个问题是一个代数,具有两个二元操作,满足了三个条件,这与结理论中的雷迪德运动有关。在本文中,我们介绍了Quandle(规范)张量产品的概念。打结的张量产物或以$ 4 $ - 空间为单位链接的结链链接对称性群,可用于对附加在表面链接上的$ 1 $ handles进行分类或构造不变性。
A quandle is an algebra with two binary operations satisfying three conditions which are related to Reidemeister moves in knot theory. In this paper we introduce the notion of the (canonical) tensor product of a quandle. The tensor product of the knot quandle or the knot symmetric quandle of a surface-link in $4$-space can be used to classify or construct invariants of $1$-handles attaching to the surface-link.