GENERALIZED INDEX POLYNOMIALS FOR VIRTUAL LINKS

被引：0
|
作者：
Lee, Kyeonghui [1 ]
Im, Young Ho [1 ]
机构：
[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2012年 / 21卷 / 14期
基金：
新加坡国家研究基金会;
关键词：
Virtual link; flat virtual link; index polynomial; invertibility; Vassiliev invariant; VASSILIEV INVARIANTS;
D O I：
10.1142/S0218216512501283
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct some polynomial invariants for virtual links by the recursive method, which are different from the index polynomial invariant defined in [Y. H. Im, K. Lee and S. Y. Lee, Index polynomial invariant of virtual links, J. Knot Theory Ramifications 19(5) (2010) 709-725]. We show that these polynomials can distinguish whether virtual knots can be invertible or not although the index polynomial cannot distinguish the invertibility of virtual knots.
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页数：16
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