10 citations · 36 across the 15 of their papers we have counts for
5 papers · 1 filter
A remark on the Hopf invariant for spherical 4-braids
Petr Mikhailovich Akhmet'ev
An approach by J.Wu describes homotopy groups of the standard 2-sphere as isotopy classes of spherical --strand Brunnian braids is investigated in the case …
A remark on the space of 7-gons with a fixed total length in
Petr Mikhailovich Akhmet'ev
Based on the model of the space of polygons in with limited number of vertex, which was proposed by Jean-Claude Hausmann and Allen Knutson, and developed by severa…
On asymptotic higher analogs of the magnetic helicity invariant in MHD
Petr M. Akhmet'ev
A solution of a problem by V.I.Arnol'd about higher analog of the asymptotic Hopf invariant of divergence-free vector fields is presented. A higher invariant of magnetic fields, wh…
Geometric approach towards stable homotopy groups of spheres. The Kervaire invariant II
Petr M. Akhmet'ev
The notion of the geometrical --control of self-intersection of a skew-framed immersion and the notion of the -structure (the cyclic structure)…
Geometric approach towards stable homotopy groups of spheres. The Steenrod-Hopf invariant I
Petr M. Akhmet'ev
In this paper a geometric approach toward stable homotopy groups of spheres, based on the Pontrjagin-Thom construction is proposed. From this approach a new proof of Hopf Invariant…