2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.GT2024
Combinatorial formula for the invariant of magnetic lines
Petr Akhmet'ev
To solve MHD problems within the framework of the theory of two-scale mean fields, it is important to study the invariants of magnetic lines. Such invariants are constructed on the…
math.AT2024★ 2 cited
Invariants of magnetic lines for Yang-Mills solutions
Petr Akhmet'ev, Maxim Dvornikov
We construct a new Yang-Mills 3D-solution on the space of negative scalar curvarure. We discuss a problem of non-abelian gauge symmetry is broken with the assumption that a scalar…
math.AT2023
A geometrical approach toward stable homotopy groups of spheres. A Desuspension Theorem (revisited)
Petr M. Akhmet'ev
Desuspension Theorem for the steam in stable homotopy groups of spheres is formulated and is proved. The proof is a minor revision of a theorem in the preprint \cite{A1…