3 papers
hep-th2025
Evolution of Mirror Axion Solitons
P. M. Akhmetiev, M. S. Dvornikov
We study an axion soliton, which weakly interacts with background matter and magnetic fields. A mirror-symmetric soliton, for which the magnetic flow is due to secondary magnetic h…
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…