Integrable 3D Statistical Models on Six-Valent Graphs


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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.

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I. Korepanov

Moscow Aviation Institute (National Research University)

编辑信件的主要联系方式.
Email: paloff@ya.ru
俄罗斯联邦, Volokolamskoe sh. 4, Moscow, 125993

D. Talalaev

Faculty of Mechanics and Mathematics; Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of National Research Centre “Kurchatov Institute,”

Email: paloff@ya.ru
俄罗斯联邦, Moscow, 119991; Bol’shaya Cheremushkinskaya ul. 25, Moscow, 117218

G. Sharygin

Faculty of Mechanics and Mathematics; Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of National Research Centre “Kurchatov Institute,”

Email: paloff@ya.ru
俄罗斯联邦, Moscow, 119991; Bol’shaya Cheremushkinskaya ul. 25, Moscow, 117218

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