|
Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Retrieve article in:
PDF
Book Information
Author(s):
Mich\`ele Audin
Title:
The topology of torus actions on symplectic manifolds
Additional book information:
Birkh\"auser-Verlag, Basel, Boston, and Berlin, 1991, 181 pp., US$64.00. ISBN3-7643-2602-6, ISBN 0-8176-2602-6
References:
- [At]
- M. Atiyah, Convexity and commuting Hamiltonians, Bull. London Math. Soc. \textbf{14} (1982), 1--15. MR 642416
- [AB]
- M. Atiyah and R. Bott, The moment map and equivariant cohomology, Topology \textbf{23} (1984), 1--28. MR 721448
- [Au]
- M. Audin, \emph{Hamiltoniens p\'eriodique sur les vari\'et\'es symplectique compactes de dimension \rm 4} (C. Albert, ed.), Lecture Notes in Math., vol. 1416, Springer-Verlag, Berlin and New York, 1990. MR 1047474
- [BV]
- N. Berline and M. Vergne, Z\'eros d'un champ de vecteurs et classes caract\'eristiques \'equivariantes, Duke Math. J. \textbf{50} (1983), 539--549. MR 705039
- [B]
- A. Borel et al., \emph{Seminar on transformation groups}, Princeton Univ. Press, Princeton, NJ, 1961. MR 116341
- [D]
- T. Delzant, Hamiltoniens p\'eriodiques et images convexes de l'application moment, Bull. Soc. Math. France \textbf{116} (1988), 315--339. MR 984900
- [DH]
- J. J. Duistermaat and G. J. Heckman, On the variation in the cohomology of the symplectic form of the reduced phase space{\rm ;} Addendum, Invent. Math. \textbf{69} (1982), 259--269, {\bf 72} (1983), 153--158. MR 674406
- [G]
- V. L. Ginzburg, Some remarks on symplectic actions of compact groups, Math. Z. (to appear, 1992). MR 1175727
- [GS1]
- V. Guillemin and S. Sternberg, Convexity properties of the moment mapping, Invent. Math. \textbf{67} (1982), 491--513. MR 664117
- [GS2]
- V. Guillemin and S. Sternberg, Birational equivalence in symplectic geometry, Invent. Math. \textbf{97} (1989), 485--551. MR 1005004
- [K1]
- F. Kirwan, \emph{Cohomology of quotients in symplectic and algebraic geometry} vol.~31, Princeton Univ. Press, Princeton, NJ, 1984. MR 766741
- [K2]
- F. Kirwan, Convexity properties of the moment mapping, {\rm III}, Invent. Math \textbf{77} (1984), 547--552. MR 759257
- [M]
- D. McDuff, The moment map for circle actions on symplectic manifolds, J. Geom. Phys. \textbf{5} (1988), 149--161. MR 1029424
- [S]
- I. Schur, \"Uber eine Klasse von Mittelbildungen mit Anwendungen auf der Determinantentheory, Sitzungsber. Berlin. Math. Ges. \textbf{22} (1923), 9--20. MR
Additional Information:
Reviewer(s):
Viktor L.
Ginzburg
Review Information:
Journal:
Bull. Amer. Math. Soc.
27
(1992),
315-320.
DOI:
10.1090/S0273-0979-1992-00315-4
PII:
S 0273-0979(1992)00315-4
|
Comments: webmaster@ams.org