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math-ph2015★ 2 cited
Cohomology of the tetrahedral complex and quasi-invariants of 2-knots
I. G. Korepanov, G. I. Sharygin, D. V. Talalaev
This paper explores a particular statistical model on 6-valent graphs with special properties which turns out to be invariant with respect to certain Roseman moves if the graph is…
math-ph2012★ 6 cited
Pentagon Relations in Direct Sums and Grassmann Algebras
Igor G. Korepanov, Nurlan M. Sadykov
We construct vast families of orthogonal operators obeying pentagon relation in a direct sum of three n-dimensional vector spaces. As a consequence, we obtain pentagon relations in…