Quandles at finite temperatures III

被引：5

作者：

Bojarczuk, J

Lopes, P

机构：

[1] Univ Estado Rio de Janeiro, Inst Matemat & Estatist, BR-20550013 Rio De Janeiro, Brazil

[2] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

[3] Inst Super Tecn, Ctr Matemat & Aplicacoes, P-1049001 Lisbon, Portugal

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2005年 / 14卷 / 03期

关键词：

quandles; colorings; 2-dimensional braids; ribbon knots; 2-twist-spun knots;

D O I：

10.1142/S021821650500383X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We resume work on telling embeddings of codimension two apart by counting colorings of the corresponding diagrams by given quandles. Previously, we illustrated the efficiency of this approach on classical knots. In the present paper we apply it to knotted surfaces. We recover work of Kamada in telling ribbon knots apart and we distinguish all elements of a class of twist-spun torus knots.

引用

页码：275 / 373

页数：99

共 19 条

[1]

Carter J.Scott., 1998, KNOTTED SURFACES THE

[2] Quandle cohomology and state-sum invariants of knotted curves and surfaces [J].