Book Review
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MathSciNet review:
1567822
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Book Information:
Author:
V. A. Vassiliev
Title:
Lagrange and Legendre characteristic classes
Additional book information:
Advanced Studies in Contemporary Mathematics, vol. 3, Gordon and Breach, New York, 1988, x + 268 pp., $98.00. ISBN 2-88124-661-3.
1. V. I. Arnold, Une classe caractéristique intervenant dans les conditions de quantification, Funktsional Anal. i Prilozhen. 1 (1967), 1-14
V. I. Arnol′d, Lagrange and Legendre cobordisms. I, Funktsional. Anal. i Prilozhen. 14 (1980), no. 3, 1–13, 96 (Russian). MR 583797
3. M. Audin, Cobordismes d'immersions lagrangiennes et legendriennes, thèse d'état, Orsay, 1986, Travaux en cours, Hermann, Paris, 1987.
Armand Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. (2) 57 (1953), 115–207 (French). MR 51508, DOI 10.2307/1969728
J. J. Duistermaat, Fourier integral operators, Courant Institute of Mathematical Sciences, New York University, New York, 1973. Translated from Dutch notes of a course given at Nijmegen University, February 1970 to December 1971. MR 0451313
J. Eliashberg, Cobordisme des solutions de relations différentielles, South Rhone seminar on geometry, I (Lyon, 1983) Travaux en Cours, Hermann, Paris, 1984, pp. 17–31 (French). MR 753850
D. B. Fuks, The Maslov-Arnol′d characteristic classes, Dokl. Akad. Nauk SSSR 178 (1968), 303–306 (Russian). MR 0225340
Victor Guillemin and Shlomo Sternberg, Symplectic techniques in physics, Cambridge University Press, Cambridge, 1984. MR 770935
Lars Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), no. 1-2, 79–183. MR 388463, DOI 10.1007/BF02392052
- 1.
- V. I. Arnold, Une classe caractéristique intervenant dans les conditions de quantification, Funktsional Anal. i Prilozhen. 1 (1967), 1-14
- 2.
- V. I. Arnold, Lagrange and Legendre cobordisms. I, II, Funktsional Anal. i Prilozhen. 14 (1980), 167-177, 252-260. MR 0583797
- 3.
- M. Audin, Cobordismes d'immersions lagrangiennes et legendriennes, thèse d'état, Orsay, 1986, Travaux en cours, Hermann, Paris, 1987.
- 4.
- A. Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes des groupes de Lie compacts, Ann. of Math. (2) 57 (1953), 115-207. MR 51508
- 5.
- J. J. Duistermaat, Fourier integral operators, Courant Institute of Mathematical Sciences, 1973. MR 451313
- 6.
- J. Eliashberg, Cobordisme des solutions de relations différentielles, Séminaire Sud-Rhodanien de géométrie, Travaux en cours, Hermann, 1984. MR 753850
- 7.
- D. B. Fuks, Maslov-Arnold characteristic classes, Dokl. Akad. Nauk SSSR 178 (1968), 303-306. MR 225340
- 8.
- V. Guillemin and S. Sternberg, Symplectic techniques in physics, Cambridge Univ. Press, Cambridge, 1986. MR 770935
- 9.
- L. Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), 79-183. MR 388463
Review Information:
Reviewer:
Michéle Audin
Journal:
Bull. Amer. Math. Soc.
21 (1989), 375-380
DOI:
https://doi.org/10.1090/S0273-0979-1989-15870-9