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.

引用

页码：625 / 649

页数：25

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