Rotational virtual knots and quantum link invariants

被引：4

作者：

Kauffman, Louis H. ^{[1
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2015年 / 24卷 / 13期

关键词：

Virtual links; rotational virtual links; genus; rotational genus; parity; Yang-Baxter equation; quantum invariant; tangle category; virtual tangle category; ALGEBRAS;

D O I：

10.1142/S0218216515410084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies rotational virtual knot theory and its relationship with quantum link invariants. Every quantum link invariant for classical knots and links extends to an invariant of rotational virtual knots and links. We give examples of non-trivial rotational virtuals that are undectable by quantum invariants.

引用

页数：46