A cocycle for the symplectic first chern class and the maslov index
Funkcionalʹnyj analiz i ego priloženiâ, Tome 18 (1984) no. 1, pp. 43-48.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1984_18_1_a5,
     author = {V. G. Turaev},
     title = {A cocycle for the symplectic first chern class and the maslov index},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {43--48},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1984_18_1_a5/}
}
TY  - JOUR
AU  - V. G. Turaev
TI  - A cocycle for the symplectic first chern class and the maslov index
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1984
SP  - 43
EP  - 48
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1984_18_1_a5/
LA  - ru
ID  - FAA_1984_18_1_a5
ER  - 
%0 Journal Article
%A V. G. Turaev
%T A cocycle for the symplectic first chern class and the maslov index
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1984
%P 43-48
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1984_18_1_a5/
%G ru
%F FAA_1984_18_1_a5
V. G. Turaev. A cocycle for the symplectic first chern class and the maslov index. Funkcionalʹnyj analiz i ego priloženiâ, Tome 18 (1984) no. 1, pp. 43-48. http://geodesic.mathdoc.fr/item/FAA_1984_18_1_a5/

[1] Arnold V.I., “O kharakteristicheskom klasse, vkhodyaschem v usloviya kvantovaniya”, Funkts. analiz, 1:1 (1967), 1–14 | MR

[2] Crumeyrolle A., “Le cocycle d'inertie trilatère d'une variété à structure presque symplectique et la première classe de Chern”, Compt. Rend. Ac. Sci. Paris, ser. A, 284:23 (1977), 1507–1509 | MR | Zbl

[3] Dupont J.L., Curvature and characteristic classes, Lect. Notes Math., 640, 1978 | DOI | MR | Zbl

[4] Dupont J.L., “Bounds for characteristic numbers of flat bundles”, Lect. Notes Math., 763, 1979, 109–119 | DOI | MR | Zbl

[5] Dupont J.L., Guechardet A., “A propos de I'article «Sur la cohomologie reelle des groupes de Lie simples reels»”, Ann. Sci. Ec. Norm. Sup., ser. 4, 11:2 (1978), 293–296 | MR

[6] Guechardet A., Wigner D., “Sur la cohomologie reelle des groupes de Lie simples reels”, Ann. Sci. Ec. Norm. Sup., ser. 4, 11:2 (1978), 277–292 | MR

[7] Giiemin V., Sternberg S., Geometricheskie asimptotiki, Mir, M., 1981 | MR

[8] Kirillov A.A., “Kharaktery unitarnykh predstavlenii grupp Li. Reduktsionnye teoremy”, Funkts. analiz, 3:1 (1969), 36–47 | MR | Zbl

[9] Lere Zh., Lagranzhev analiz i kvantovaya mekhanika, Mir, M., 1981 | MR

[10] Lion G., Vergne M., The Weil representation, Maslov index and Theta series, Progress in Math., 6, 1980 | DOI | MR | Zbl

[11] Mackey G.W., “Les ensembles boréliens et les extensions des groupes”, Journ. Math. Pures Appl., 36:2 (1957), 171–189 | MR

[12] Maklein S., Gomologiya, Mir, M., 1966

[13] Magneron B., “Une extension de la notion d'indices de Maslov”, Comp. Rend. Ac. Sci. Paris, ser. A, 289:14 (1979), 683–686 | MR | Zbl

[14] Milnor J.W., “On the existence of a connection with curvature zero”, Comm. Math. Helv., 32:3 (1958), 215–223 | DOI | MR | Zbl

[15] Novikov S.P., “Algebraicheskoe postroenie i svoistva ermitovykh analogov $K$-teorii nad koltsami s involyutsiei s tochki zreniya gamiltonova formalizma. Nekotorye prilozheniya k differentsialnoi topologii kharakteristicheskikh klassov, ch. I i II”, Izv. AN SSSR, seriya matem., 34:2 (1970), 253–288 ; 3, 475–500 | MR | Zbl | Zbl

[16] Souriau J.M., “Construction explicite de I'indice de Maslov et applications”, Lect. Notes Phys., 50, 1976, 117–148 | DOI | MR | Zbl