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

页码：5286 / 5293

页数：8

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