Akhmet'ev Petr Mikhailovich

Publications in Math-Net.Ru

1. Evolution of mirror axion solitons
   
   TMF, 225:2 (2025),  375–390
2. Evolution of the magnetic field in spatially inhomogeneous axion structures
   
   TMF, 218:3 (2024),  601–618
3. Arf invariants of codimension one in a Wall group of the dihedral group
   
   Mat. Sb., 214:5 (2023),  3–17
4. Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence
   
   TMF, 209:2 (2021),  351–366
5. On the properties of the cobordism group of stably-framed immersions in codimension $k$
   
   Chebyshevskii Sb., 21:2 (2020),  26–36
6. Knot Invariants in Geodesic Flows
   
   Trudy Mat. Inst. Steklova, 308 (2020),  50–64
7. Magnetic helicity flux for mean magnetic field equations
   
   TMF, 204:1 (2020),  130–141
8. Projected and near-projected embeddings
   
   Zap. Nauchn. Sem. POMI, 498 (2020),  75–104
9. Local coefficients and the Herbert formula
   
   Fundam. Prikl. Mat., 21:6 (2016),  79–91
10. On properties of skew-framed immersions cobordism groups
    
    Fundam. Prikl. Mat., 21:5 (2016),  19–46
11. Quadratic helicities and the energy of magnetic fields
    
    Trudy Mat. Inst. Steklova, 278 (2012),  16–28
12. Hypermagnetic helicity flux in the nuclei of a new phase in the electroweak phase transition
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 91:5 (2010),  233–236
13. Integral Formula for a Generalized Sato–Levine Invariant in Magnetic Hydrodynamics
    
    Mat. Zametki, 85:4 (2009),  524–537
14. Remark on the dissipation of the magnetic helicity integral
    
    TMF, 158:1 (2009),  150–160
15. Geometric approach to stable homotopy groups of spheres. Kervaire invariants. II
    
    Fundam. Prikl. Mat., 13:8 (2007),  17–41
16. Geometric approach to stable homotopy groups of spheres. The Adams–Hopf invariants
    
    Fundam. Prikl. Mat., 13:8 (2007),  3–15
17. Some Algebraic Properties of Cerf Diagrams of One-Parameter Function Families
    
    Funktsional. Anal. i Prilozhen., 39:3 (2005),  1–13
18. Classification of Harmonic Functions in the Exterior of the Unit Ball
    
    Mat. Zametki, 75:2 (2004),  182–191
19. A Remark on the Realization of Mappings of the 3-Dimensional Sphere into Itself
    
    Trudy Mat. Inst. Steklova, 247 (2004),  10–14
20. $K_2$ for the simplest integral group rings and topological applications
    
    Mat. Sb., 194:1 (2003),  23–30
21. On the Euler characteristic of multiple selfintersection points of immersed manifolds
    
    Sibirsk. Mat. Zh., 44:2 (2003),  256–262
22. On Milnor's Invariants of 4-Component Links
    
    Mat. Zametki, 71:4 (2002),  496–507
23. A formula for the generalized Sato–Levine invariant
    
    Mat. Sb., 192:1 (2001),  3–12
24. A higher-order analog of the helicity number for a pair of divergent-free vector fields
    
    Zap. Nauchn. Sem. POMI, 279 (2001),  15–23
25. Embedding of compacta, stable homotopy groups of spheres, and singularity theory
    
    Uspekhi Mat. Nauk, 55:3(333) (2000),  3–62
26. On isotopic realizability of continuous mappings
    
    Zap. Nauchn. Sem. POMI, 267 (2000),  53–87
27. Generalized Daverman's problem
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 68 (1999),  5–15
28. A Geometrical Proof of Browder's Result on the Vanishing of the Kervaire Invariant
    
    Trudy Mat. Inst. Steklova, 225 (1999),  46–51
29. A Generalization of the Sato–Levine Invariant
    
    Trudy Mat. Inst. Steklova, 221 (1998),  69–80
30. Obstructions to splitting manifolds with infinite fundamental group
    
    Mat. Zametki, 60:2 (1996),  163–175
31. $\operatorname{Prem}$-mappings, triple self-intersection points of oriented surfaces, and the Rokhlin signature theorem
    
    Mat. Zametki, 59:6 (1996),  803–810
32. On isotopic and discrete realizations of maps of an $n$-dimensional sphere in Euclidean space
    
    Mat. Sb., 187:7 (1996),  3–34
33. Solution of the problem of realizing a mapping of an $n$-sphere in a Euclidean $2n$-space
    
    Trudy Mat. Inst. Steklova, 212 (1996),  37–45
34. An elementary proof of the Freedman immersion theorem
    
    Algebra i Analiz, 7:5 (1995),  93–100
35. Smooth immersion of manifolds of small dimension. II. Cobordism group of critical points of multiparameter families of functions
    
    Mat. Sb., 186:12 (1995),  37–62
36. Smooth immersions of manifolds of low dimension
    
    Mat. Sb., 185:10 (1994),  3–26
37. Splitting homotopy equivalences along a one-sided submanifold of codimension one
    
    Izv. Akad. Nauk SSSR Ser. Mat., 51:2 (1987),  211–241
38. Behavior of Bockstein homomorphisms of infinite cellular spaces
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 5,  31–33


39. To the 75th anniversary of Vyacheslav Zigmundovich Grines
    
    Zhurnal SVMO, 23:4 (2021),  472–476
40. Corrections to the paper “Geometric Approach to Stable Homotopy Groups of Spheres. The Adams–Hopf Invariants” (Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 8, 3–15 (2007))
    
    Fundam. Prikl. Mat., 15:5 (2009),  211
41. Mikhail Mikhailovich Postnikov (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 53:2(320) (1998),  183–184