The Miyazawa polynomial for long virtual knots

被引：1

作者：

Ishii, Atsushi ^{[1
]}

Kamada, Naoko ^{[2
]}

Kamada, Seiichi ^{[3
]}

机构：

[1] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 3058571, Japan

[2] Radiat Effects Res Fdn, Minami Ku, Hiroshima 7320815, Japan

[3] Hiroshima Univ, Dept Math, Hiroshima 7398526, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 2010年 / 157卷 / 01期

关键词：

Long virtual knot; Miyazawa polynomial; Kauffman f-polynomial; REPRESENTATIONS; INVARIANT; STATE;

D O I：

10.1016/j.topol.2009.04.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a two-variable polynomial invariant of a long virtual knot, which dominates the Kauffman f-polynomial and the Miyazawa polynomial of the closure. Our invariant satisfies a product formula for the concatenation product of long virtual knots. It describes a formula of the Miyazawa polynomial of a 'connected sum' of two virtual knots. It also gives lower bounds for the real crossing number and the virtual crossing number of a long virtual knot. (c) 2009 Elsevier B.V. All rights reserved.

引用

页码：290 / 297

页数：8

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