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math.GT2020
Topological interpretation of color exchange invariants: hexagonal lattice on a torus
O. Cépas, P. M. Akhmetiev
We explain a correspondence between some invariants in the dynamics of color exchange in a 2d coloring problem, which are polynomials of winding numbers, and linking numbers in 3d.…
math.GT2015
Higher Helicity of Magnetic Lines and Arf-invariants
Petr M. Akhmetiev
We recall the definition of the quadratic helicity invariant and of the higher asymptotic ergodic -invariant. We present a simpler new proof (in part) that the -invariant is…