An invariant of links in the thickened torus

被引：0
|
作者：
M. V. Zenkina
机构：
[1] Moscow Pedagogical State University,
来源：
Mathematical Notes | 2011年 / 90卷
关键词：
link in the thickened torus; virtual knot; invariant of links; link diagram; regular link diagram; shadow of a link diagram; Kaufmann’s formal theory; Dehn’s presentation;
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摘要：
An invariant of links with two and more components in the thickened torus is constructed; the invariant depends on several variables. The construction uses Kauffman’s formal theory, which is based on Dehn’s representation of knot groups. This invariant is a natural generalization of a polynomial z constructed by Zenkina and Manturov. Some properties of the new invariant are also considered.
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