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Book Review

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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.

References [Enhancements On Off] (What's this?)

  • 1. V. I. Arnold, Une classe caractéristique intervenant dans les conditions de quantification, Funktsional Anal. i Prilozhen. 1 (1967), 1-14
  • 2. V. I. Arnol′d, Lagrange and Legendre cobordisms. I, Funktsional. Anal. i Prilozhen. 14 (1980), no. 3, 1–13, 96 (Russian). MR 583797
    V. I. Arnol′d, Lagrange and Legendre cobordisms. II, Funktsional. Anal. i Prilozhen. 14 (1980), no. 4, 8–17, 95 (Russian). MR 595724
  • 3. M. Audin, Cobordismes d'immersions lagrangiennes et legendriennes, thèse d'état, Orsay, 1986, Travaux en cours, Hermann, Paris, 1987.
  • 4. 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 0051508, https://doi.org/10.2307/1969728
  • 5. 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
  • 6. 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
  • 7. D. B. Fuks, The Maslov-Arnol′d characteristic classes, Dokl. Akad. Nauk SSSR 178 (1968), 303–306 (Russian). MR 0225340
  • 8. Victor Guillemin and Shlomo Sternberg, Symplectic techniques in physics, Cambridge University Press, Cambridge, 1984. MR 770935
  • 9. Lars Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), no. 1-2, 79–183. MR 0388463, https://doi.org/10.1007/BF02392052

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