Quantization and global properties of manifolds
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 28 (1978) no. 2, pp. 137-154.
@article{AIHPA_1978__28_2_137_0,
     author = {Kolerov, G. I.},
     title = {Quantization and global properties of manifolds},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {137--154},
     publisher = {Gauthier-Villars},
     volume = {28},
     number = {2},
     year = {1978},
     mrnumber = {495052},
     zbl = {0388.58012},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1978__28_2_137_0/}
}
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Kolerov, G. I. Quantization and global properties of manifolds. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 28 (1978) no. 2, pp. 137-154. http://archive.numdam.org/item/AIHPA_1978__28_2_137_0/

[1] H. Weyl, Gruppentheorie und Quantenmechanik, Leipzig, 1931. | JFM

[2] R. Feynman, Rev. Mod. Phys., t. 20, 1948, p. 371.

[3] A.A. Kirillov, Elements of the Theory of Representation « Nauka », Moscow, 1972 (in Russian). | MR

[4] B. Kostant, Quantization and unitary representations. Springer Lecture Notes, t. 170, 1970, p. 87-208. | MR | Zbl

[5] P.A.M. Dirac, Lectures on Quantum Mechanics, New York, 1964.

[6] F.A. Berezin, Quantization, Izv. AN USSR (ser. math.), t. 38, 1974, p. 5 (in Russian). | MR | Zbl

[7] N. Steenrod, The Topology of Fibre Bundles, Princeton, New Jersey, 1951. | MR | Zbl

[8] K. Nomizu, Lie Groups and Differential Geometry, The Mathematical Society of Japan, 1956. | MR | Zbl

[9] W. Mackey, The Mathematical Foundations of Quantum Mechanics, W. A. Benjamin, Inc., New York, Amsterdam, 1963. | Zbl

[10] S. Stenberg, Lectures on Differential Geometry, Prentice Hall, Inc., Englewood Cliffs, N. J., 1964. | MR | Zbl

[11] V.I. Arnol'D, Mathematical Methods of Classical Mechanics, « Nauka », Moscow, 1974 (in Russian). | MR | Zbl

[12] R.L. Beshop, R.J. Crittenden, Geometry of Manifolds, Academic Press, New York and London, 1964. | MR | Zbl

[13] V.I. Arnol'D, Peculiarities of Smooth Maps, Uspekhi Math. Nauk, t. 23, 1968, p. 1 (in Russian). | Zbl

[14] C. Godbillon, Géometrie différentielle et Mécanique Analytique, Hermann, Paris, 1969. | MR | Zbl

[15] G. De Rham, Variétés différentiables, Hermann, Paris, 1960. | Zbl

[16] L.P. Eisenhart, Continuous Groups of Transformations, Princeton, 1933. | Zbl

[17] C. Teleman, Elemente de topologie si varietati differentiabile, Bucuresti, 1964. | MR

[18] S.S. Chern, Complex Manifolds, The University of Chicago, Autumn, 1955.

[19] S.T. Hu, Homotopy Theory, Academic Press, New York, London, 1959. | MR | Zbl

[20] Yu.L. Dalitsky, Continual Integrals, Uspekhi Mat. Nauk, XVII, n°5, 1962 (in Russian).

[21] H. Seifert, W. Threlfall, Variationsrechnung in Grossen, 1938. | JFM | Zbl

[22] J. Milnor, Morse Theory, Annals of Mathematics Studies, 51, Princeton, University Press, 1963. | MR | Zbl

[23] E. Nelson, Quantum fields and Markoff fields, in « Partial Differential equations », ed. D. Spencer, Symp. in Pure Math., vol. 23, A. M. S. Publications, 1973, p. 413- 420. | MR | Zbl