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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF

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 (83a:57049a)
  • 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 (14,490e)
  • 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 (56 #9600)
  • 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 (86c:57033)
  • 7. D. B. Fuks, The Maslov-Arnol′d characteristic classes, Dokl. Akad. Nauk SSSR 178 (1968), 303–306 (Russian). MR 0225340 (37 #934)
  • 8. Victor Guillemin and Shlomo Sternberg, Symplectic techniques in physics, Cambridge University Press, Cambridge, 1984. MR 770935 (86f:58054)
  • 9. Lars Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), no. 1-2, 79–183. MR 0388463 (52 #9299)


Review Information

Reviewer: Michéle Audin
Journal: Bull. Amer. Math. Soc. 21 (1989), 375-380
DOI: http://dx.doi.org/10.1090/S0273-0979-1989-15870-9
PII: S 0273-0979(1989)15870-9