Geodesic
Lefschetz Fixed Point Theorem for Quantized Symplectic Transformations
Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 4, pp. 35-48.

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

@article{FAA_1998_32_4_a3,
     author = {B. Yu. Sternin and V. E. Shatalov},
     title = {Lefschetz {Fixed} {Point} {Theorem} for {Quantized} {Symplectic} {Transformations}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {35--48},
     publisher = {mathdoc},
     volume = {32},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1998_32_4_a3/}
}
TY  - JOUR
AU  - B. Yu. Sternin
AU  - V. E. Shatalov
TI  - Lefschetz Fixed Point Theorem for Quantized Symplectic Transformations
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1998
SP  - 35
EP  - 48
VL  - 32
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1998_32_4_a3/
LA  - ru
ID  - FAA_1998_32_4_a3
ER  - 
%0 Journal Article
%A B. Yu. Sternin
%A V. E. Shatalov
%T Lefschetz Fixed Point Theorem for Quantized Symplectic Transformations
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1998
%P 35-48
%V 32
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1998_32_4_a3/
%G ru
%F FAA_1998_32_4_a3
B. Yu. Sternin; V. E. Shatalov. Lefschetz Fixed Point Theorem for Quantized Symplectic Transformations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 4, pp. 35-48. http://geodesic.mathdoc.fr/item/FAA_1998_32_4_a3/

[1] Atiyah M. F., Bott R., “A Lefschetz fixed point formula for elliptic complexes”, Ann. of Math., 86 (1967), 374–407 | DOI | MR | Zbl

[2] Maslov V. P., Operatornye metody, Nauka, Moskva, 1973 | MR

[3] Mishchenko A., Shatalov V., Sternin B., Lagrangian manifolds and the Maslov operator, Springer–Verlag, Berlin–Heidelberg, 1990 | MR

[4] Sternin B., Shatalov V., Ten lectures on quantization, Preprint Univ. de Nice–Sophia Antipolis, No 22, Nice, 1994 | MR

[5] Fedosov B. V., “Trace formula for Schrödinger operator”, Russian J. Math. Phys., 1 (1993), 447–463 | MR | Zbl

[6] Sternin B. Yu., Shatalov V. E., “Teorema Ati–Botta–Lefshetsa o nepodvizhnoi tochke v simplekticheskoi geometrii”, Doklady RAN, 348:2 (1996), 165–168 | MR | Zbl

[7] Sternin B., Shatalov V., Quantization of symplectic transformation and the Lefschetz fixed point theorem, Preprint Max-Planck-Institut für Mathematik, No 92, Bonn, 1994 | MR

[8] Maslov V. P., Teoriya vozmuschenii i asimptoticheskie metody, MGU, Moskva, 1965

[9] Arnold V. I., Varchenko A. N., Gusein–Zade S. M., Osobennosti differentsiruemykh otobrazhenii, t. 1, Nauka, Moskva, 1982 | MR

[10] Fedosov B. V., “Teoremy ob indekse”, Itogi nauki i tekhniki. Sovremennye problemy matematiki, 65, VINITI, Moskva, 1991, 165–268 | MR