The State-Sum Invariants for Virtual Knot

被引：0
|
作者：
Kazakov, A. A. [1 ,2 ,3 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow 119991, Russia
[2] Demidov Yaroslavl State Univ, Ctr Integrable Syst, Yaroslavl 150003, Russia
[3] Moscow Inst Phys & Technol, Ctr Fundamental Math, Dolgoprudnyi 141701, Moscow Oblast, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 12期
关键词：
virtual knots; virtual links; quandle; invariant state-sum; cohomology of quandle;
D O I：
10.1134/S1995080223120181
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct the new non-trivial state-sum invariants for virtual knots and links by a generalization of the powerful Carter-Saito-Jelsovsky-Kamada-Langford theorem for classical knots. The main result of this work is based on cohomology quandle theory and colorings of virtual knot and link diagrams by quandle elements.
引用
收藏
页码：5286 / 5293
页数：8
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