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Book Review
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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. 14 (1982), 1-15. MR 642416 (83e:53037)
- [AB]
- M. Atiyah and R. Bott, The moment map and equivariant cohomology, Topology 23 (1984), 1-28. MR 721448 (85e:58041)
- [Au]
- M. Audin, Hamiltoniens périodique sur les variétés symplectique compactes de dimension 4, Géométrie symplectique et mécanique, Proceedings 1988 (C. Albert, ed.), Lecture Notes in Math., vol. 1416, Springer-Verlag, Berlin and New York, 1990. MR 1047474 (91f:57013)
- [BV]
- N. Berline and M. Vergne, Zéros d'un champ de vecteurs et classes caractéristiques équivariantes, Duke Math. J. 50 (1983), 539-549. MR 705039 (84i:58114)
- [B]
- A. Borel et al., Seminar on transformation groups, Ann. of Math. Stud., vol. 46, Princeton Univ. Press, Princeton, NJ, 1961. MR 0116341 (22:7129)
- [D]
- T. Delzant, Hamiltoniens périodiques et images convexes de l'application moment, Bull. Soc. Math. France 116 (1988), 315-339. MR 984900 (90b:58069)
- [DH]
- J. J. Duistermaat and G. J. Heckman, On the variation in the cohomology of the symplectic form of the reduced phase space; Addendum, Invent. Math. 69 (1982), 259-269, 72 (1983), 153-158. MR 674406 (84h:58051a)
- [G]
- V. L. Ginzburg, Some remarks on symplectic actions of compact groups, Math. Z. (to appear, 1992). MR 1175727 (93h:57053)
- [GS1]
- V. Guillemin and S. Sternberg, Convexity properties of the moment mapping, Invent. Math. 67 (1982), 491-513. MR 664117 (83m:58037)
- [GS2]
- -, Birational equivalence in symplectic geometry, Invent. Math. 97 (1989), 485-551. MR 1005004 (90f:58060)
- [K1]
- F. Kirwan, Cohomology of quotients in symplectic and algebraic geometry, Math. Notes, vol. 31, Princeton Univ. Press, Princeton, NJ, 1984. MR 766741 (86i:58050)
- [K2]
- -, Convexity properties of the moment mapping, III, Invent. Math 77 (1984), 547-552. MR 759257 (86b:58042b)
- [M]
- D. McDuff, The moment map for circle actions on symplectic manifolds, J. Geom. Phys. 5 (1988), 149-161. MR 1029424 (91c:58042)
- [S]
- I. Schur, Über eine Klasse von Mittelbildungen mit Anwendungen auf der Determinanten-theory, Sitzungsber. Berlin. Math. Ges. 22 (1923), 9-20.
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
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