Integrable 3D Statistical Models on Six-Valent Graphs

Autor:	I. G. Korepanov, G. I. Sharygin, Dmitry Talalaev
Rok vydání:	2018
Předmět:	Discrete mathematics Mathematics (miscellaneous) Integrable system Tetrahedron Statistical model Singular point of a curve Invariant (mathematics) Cohomology Graph Mathematics
Zdroj:	Proceedings of the Steklov Institute of Mathematics. 302:198-216
ISSN:	1531-8605 0081-5438
DOI:	10.1134/s008154381806010x
Popis:	The paper is devoted to the study of a special statistical model on graphs with vertices of degrees 6 and 1. We show that this model is invariant with respect to certain Roseman moves if one regards the graph as the singular point set of the diagram of a 2-knot. Our approach is based on the properties of the tetrahedron cohomology complex.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::78a6b9c26dc78a3910153fd42c63c032 https://doi.org/10.1134/s008154381806010x Zobrazit plný text záznamu Full text from SpringerLink