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References
S. P. Novikov, “The Hamiltonian formalism and a multivalued analogue of Morse theory,” Usp. Mat. Nauk,37, No. 5, 3–49 (1982).
S. P. Novikov, “Critical points and level surfaces of multivalued functions,” Trudy Mat. Inst. Akad. Nauk,166, 201–209 (1984).
S. P. Novikov, “Quasiperiodic structures in topology,” in: Topological Methods in Modern Mathematics, Stony Brook, New York (1991), Publish or Perish, Houston, TX (1993).
A. V. Zorich, “The problem of S. P. Novikov on the semiclassical motion of an electron in a magnetic field that is close to a rational one,” Usp. Mat. Nauk,39, No. 5, 235–236 (1984).
I. A. Dynnikov, “Proof of the conjecture of S. P. Novikov in the case of small perturbations of rational magnetic fields,” Usp. Mat. Nauk,47, No. 4, 161–162 (1992).
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Translated from Matematicheski Zametki, Vol. 53, No. 5, pp. 57–68, May, 1993.
In conclusion the author thanks S. P. Novikov for posing the problem and to Le Ty for useful remarks.
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Dynnikov, I.A. Proof of S. P. Novikov's conjecture on the semiclassical motion of an electron. Math Notes 53, 495–501 (1993). https://doi.org/10.1007/BF01208544
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DOI: https://doi.org/10.1007/BF01208544