A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR UNORIENTED VIRTUAL KNOTS AND LINKS

被引：9
|
作者：
Miyazawa, Yasuyuki [1 ]
机构：
[1] Yamaguchi Univ, Dept Math Sci, Yamaguchi 7538512, Japan
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2009年 / 18卷 / 05期
关键词：
Unoriented virtual knot; VMG diagram; polynomial invariant; virtual crossing number;
D O I：
10.1142/S0218216509007099
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a multi-variable polynomial invariant Y for unoriented virtual links as a certain weighted sum of polynomials, which are derived from virtual magnetic graphs with oriented vertices, on oriented virtual links associated with a given virtual link. We show some features of the Y-polynomial including an evaluation of the virtual crossing number of a virtual link.
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页码：625 / 649
页数：25
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