17 citations · 43 across the 13 of their papers we have counts for
3 papers · 1 filter
A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions
Irina Bobrova, Vladimir Retakh, Vladimir Rubtsov +1
We study a fully noncommutative generalisation of the commutative fourth Painlevé equation that possesses solutions in terms of an infinite Toda system over an associative unital d…
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…
Cohomologies of -simplex relations
Igor Korepanov, Georgy Sharygin, Dmitry Talalaev
A theory of (co)homologies related to set-theoretic -simplex relations is constructed in analogy with the known quandle and Yang--Baxter (co)homologies, with emphasis made on th…