Geodesic
A coordinatewise formulation of geometric quantization
Annales de l'I.H.P. Physique théorique, Tome 31 (1979) no. 1, pp. 5-24.

Voir la notice de l'article provenant de la source Numdam

@article{AIHPA_1979__31_1_5_0,
     author = {Vaisman, Izu},
     title = {A coordinatewise formulation of geometric quantization},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {5--24},
     publisher = {Gauthier-Villars},
     volume = {31},
     number = {1},
     year = {1979},
     mrnumber = {557049},
     zbl = {0419.58010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AIHPA_1979__31_1_5_0/}
}
TY  - JOUR
AU  - Vaisman, Izu
TI  - A coordinatewise formulation of geometric quantization
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1979
SP  - 5
EP  - 24
VL  - 31
IS  - 1
PB  - Gauthier-Villars
UR  - http://geodesic.mathdoc.fr/item/AIHPA_1979__31_1_5_0/
LA  - en
ID  - AIHPA_1979__31_1_5_0
ER  - 
%0 Journal Article
%A Vaisman, Izu
%T A coordinatewise formulation of geometric quantization
%J Annales de l'I.H.P. Physique théorique
%D 1979
%P 5-24
%V 31
%N 1
%I Gauthier-Villars
%U http://geodesic.mathdoc.fr/item/AIHPA_1979__31_1_5_0/
%G en
%F AIHPA_1979__31_1_5_0
Vaisman, Izu. A coordinatewise formulation of geometric quantization. Annales de l'I.H.P. Physique théorique, Tome 31 (1979) no. 1, pp. 5-24. http://geodesic.mathdoc.fr/item/AIHPA_1979__31_1_5_0/

[1] R.J. Blattner, Quantization and representation theory, in: Harmonic Analysis on Homogeneous Spaces, A. M. S., Proc. Symp. Pure Math., XXVI, 1974, p. 147-165. | Zbl | MR

[2] R. Bott, Lectures on characteristic classes and foliations, in: Lecture Notes in Math., t. 279, Springer-Verlag, Berlin, 1972, p. 1-94. | Zbl | MR

[3] S.S. Chern, Complex manifolds without potential theory. D. Van Nostrand, Comp., Princeton, New Jersey, 1967. | Zbl | MR

[4] L. Nirenberg, A complex Frobenius theorem, in: Sem. on Analytic Functions, Inst. for Adv. Study, Princeton, vol. 1, 1957, p. 172-179. | Zbl

[5] D.J. Simms, Metalinear structures and a geometric quantization of the harmonic oscillator, in: Colloque du CNRS, n° 237, Géométrie symplectique et physique mathématique, Aix-en-Provence, 1974, p. 163-173. | Zbl | MR

[6] D.J. Simms and N.M.J. Woodhouse, Lectures on geometric quantization. Lecture Notes in Physics, 53, Springer-Verlag, Berlin, 1976. | Zbl | MR

[7] J. Sniatycki and S. Toporowski, On representation spaces in geometric quantization, Int. J. of Theoretical Physics, t. 16, 1977, p. 615-633. | Zbl | MR

[8] S. Śternberg, Lectures on differential geometry, Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1976. | MR

[9] I. Vaisman, Basic ideas of geometric quantization, Rend. Sem. Mat., Torino (to appear). | Zbl | MR

[10] K. Yano, The theory of Lie derivatives and its applications, North Holland Publ., Amsterdam, 1957. | Zbl | MR