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.
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页码：290 / 297
页数：8
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