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.
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页码：5286 / 5293
页数：8
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