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

Kamada, Seiichi

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.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源