An invariant of regular isotopy
An invariant of regular isotopy
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DOI：
10.1090/s0002-9947-1990-0958895-7
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发表时间：
1990-02
影响因子：
1.3
通讯作者：
L. Kauffman
中科院分区：
文献类型：
--
作者：
L. Kauffman
本文研究了经典无取向节和连杆的正则同位素的二变量洛朗多项式不变量。对于链路K，这个不变量记为LK，它满足公理：1。通常同位素链得到相同的多项式。2. Lo0 = 1。L_ = aL, L_？= a - L。4. L)小图表示大图的相同部分。规则同位素是II型和III型Reidemeister运动产生的等价关系。用write -归一化方法得到了环境同位素的不变量。
This paper studies a two-variable Laurent polynomial invariant of regular isotopy for classical unoriented knots and links. This invariant is denoted LK for a link K, and it satisfies the axioms: 1. Regularly isotopic links receive the same polynomial. 2. Lo0=1. 3 L _ = aL, L_? = a-'L. 4. L ) Small diagrams indicate otherwise identical parts of larger diagrams. Regular isotopy is the equivalence relation generated by the Reidemeister moves of type II and type III. Invariants of ambient isotopy are obtained from L by writhe-normalization.