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Morse theory for fixed points of symplectic diffeomorphisms
Author(s):
Andreas
Floer
Journal:
Bull. Amer. Math. Soc.
16
(1987),
279-281.
MSC (1985):
Primary 53C15;
Secondary 58F05
MathSciNet review:
876964
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References |
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Additional information
References:
- 1.
- V. I. Arnold, Mathematical methods of classical mechanics, (Appendix 9), Springer-Verlag, Berlin and New York, 1978. MR 690288
- 2.
- C. C. Conley and E. Zehnder, The Birkhoff-Lewis fixed point theorem and a conjecture by V. I. Arnold, Invent. Math. 73 (1982), 33-49. MR 707347
- 3.
- A. Floer, Proof of the Arnold conjecture for surfaces and generalizations for certain Kähler manifolds, Duke Math. J. 53 (1986), 1-32. MR 835793
- 4.
- B. Fortune, A symplectic fixed point theorem for CPn, Invent. Math. 81 (1985), 29-46. MR 796189
- 5.
- M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307-347. MR 809718
- 6.
- J. Milnor, Lectures on the H-cobordism theorem, Mathematical Notes, Princeton Univ. Press, 1965. MR 190942
- 7.
- J. C. Sikorav, Points fixes d'un symplectomorphisme homologue de l'identité, J. Differential Geom. 22 (1985), 49-79. MR 826424
- 8.
- A. Weinstein, C0 -perturbation theorems for symplectic fixed points and Lagrangian intersections, Lecture Notes, Amer. Math. Soc. Summer Institute on nonlinear functional analysis and applications, Berkeley, 1983.
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Additional Information:
DOI:
10.1090/S0273-0979-1987-15517-0
PII:
S 0273-0979(1987)15517-0
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