A two-variable polynomial invariant of virtual knots

被引：0
|
作者：
Jeong, Myeong-Ju [1 ]
机构：
[1] Korea Adv Inst Sci & Technol, Dept Math & Comp Sci, Korea Sci Acad, 111 Baekyang, Busan 47162, South Korea
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2023年 / 32卷 / 13期
关键词：
Virtual knot; affine index polynomial; writhe polynomial; crossing change; GORDIAN DISTANCE;
D O I：
10.1142/S0218216523500955
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a polynomial invariant of virtual knots by using weights of crossings. It is motivated from the writhe polynomial and the affine index polynomial for virtual knots. The new polynomial invariant is distinct from these polynomials and is a Vassiliev invariant of degree 1. By using the polynomial invariant we give a lower bound for the Gordian distance of two homotopic virtual knots.
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页数：19
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