Quantization and global properties of manifolds
Kolerov, G. I.
Annales de l'I.H.P. Physique théorique, Tome 29 (1978), p. 137-154 / Harvested from Numdam
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Publié le : 1978-01-01
@article{AIHPA_1978__28_2_137_0,
     author = {Kolerov, G. I.},
     title = {Quantization and global properties of manifolds},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {29},
     year = {1978},
     pages = {137-154},
     mrnumber = {495052},
     zbl = {0388.58012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1978__28_2_137_0}
}

Kolerov, G. I. Quantization and global properties of manifolds. Annales de l'I.H.P. Physique théorique, Tome 29 (1978) pp. 137-154. http://gdmltest.u-ga.fr/item/AIHPA_1978__28_2_137_0/

[1] H. Weyl, Gruppentheorie und Quantenmechanik, Leipzig, 1931. | JFM 57.1579.01

[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 509211

[4] B. Kostant, Quantization and unitary representations. Springer Lecture Notes, t. 170, 1970, p. 87-208. | MR 294568 | Zbl 0223.53028

[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 395610 | Zbl 0312.53049

[7] N. Steenrod, The Topology of Fibre Bundles, Princeton, New Jersey, 1951. | MR 39258 | Zbl 0054.07103

[8] K. Nomizu, Lie Groups and Differential Geometry, The Mathematical Society of Japan, 1956. | MR 84166 | Zbl 0071.15402

[9] W. Mackey, The Mathematical Foundations of Quantum Mechanics, W. A. Benjamin, Inc., New York, Amsterdam, 1963. | Zbl 0114.44002

[10] S. Stenberg, Lectures on Differential Geometry, Prentice Hall, Inc., Englewood Cliffs, N. J., 1964. | MR 193578 | Zbl 0129.13102

[11] V.I. Arnol'D, Mathematical Methods of Classical Mechanics, « Nauka », Moscow, 1974 (in Russian). | MR 474390 | Zbl 0647.70001

[12] R.L. Beshop, R.J. Crittenden, Geometry of Manifolds, Academic Press, New York and London, 1964. | MR 169148 | Zbl 0132.16003

[13] V.I. Arnol'D, Peculiarities of Smooth Maps, Uspekhi Math. Nauk, t. 23, 1968, p. 1 (in Russian). | Zbl 0167.21702

[14] C. Godbillon, Géometrie différentielle et Mécanique Analytique, Hermann, Paris, 1969. | MR 242081 | Zbl 0174.24602

[15] G. De Rham, Variétés différentiables, Hermann, Paris, 1960. | Zbl 0089.08105

[16] L.P. Eisenhart, Continuous Groups of Transformations, Princeton, 1933. | Zbl 0008.10801

[17] C. Teleman, Elemente de topologie si varietati differentiabile, Bucuresti, 1964. | MR 199857

[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 106454 | Zbl 0088.38803

[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 64.0499.02 | Zbl 0021.14103

[22] J. Milnor, Morse Theory, Annals of Mathematics Studies, 51, Princeton, University Press, 1963. | MR 163331 | Zbl 0108.10401

[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 337206 | Zbl 0279.60096