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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A symplectic fixed point theorem for complex projective spaces
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by Barry Fortune and Alan Weinstein PDF
Bull. Amer. Math. Soc. 12 (1985), 128-130
References
  • V. Arnold, Les méthodes mathématiques de la mécanique classique, Éditions Mir, Moscow, 1976 (French). Traduit du russe par Djilali Embarek. MR 0474391
  • Henri Berestycki, Jean-Michel Lasry, Giovanni Mancini, and Bernhard Ruf, Existence of multiple periodic orbits on star-shaped Hamiltonian surfaces, Comm. Pure Appl. Math. 38 (1985), no. 3, 253–289. MR 784474, DOI 10.1002/cpa.3160380302
    • 3. G. D. Birkhoff, Proof of Poincaré’s geometric theorem, Trans. Amer. Math. Soc. 14 (1913), 14-22.
  • C. C. Conley and E. Zehnder, The Birkhoff-Lewis fixed point theorem and a conjecture of V. I. Arnol′d, Invent. Math. 73 (1983), no. 1, 33–49. MR 707347, DOI 10.1007/BF01393824
    • 5. B. Fortune, A symplectic fixed-point theorem for CP, Ph.D. thesis, Univ. of Cal. at Berkeley, 1984.
  • Jerrold Marsden and Alan Weinstein, Reduction of symplectic manifolds with symmetry, Rep. Mathematical Phys. 5 (1974), no. 1, 121–130. MR 402819, DOI 10.1016/0034-4877(74)90021-4
    • 7. H. Poincaré, Sur un théorème de géométrie, Rend. Circ. Mat. Palermo 33 (1912), 375-407.
  • A. Weinstein, $C^{0}$ perturbation theorems for symplectic fixed points and Lagrangian intersections, South Rhone seminar on geometry, III (Lyon, 1983) Travaux en Cours, Hermann, Paris, 1984, pp. 140–144. MR 753866
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 12 (1985), 128-130
  • MSC (1980): Primary 58F05
  • DOI: https://doi.org/10.1090/S0273-0979-1985-15314-5
  • MathSciNet review: 766969