Morse theory for fixed points of symplectic diffeomorphisms

Floer, Andreas

doi:10.1090/S0273-0979-1987-15517-0

Author: Andreas Floer
Journal: Bull. Amer. Math. Soc. 16 (1987), 279-281
MSC (1985): Primary 53C15; Secondary 58F05
DOI: https://doi.org/10.1090/S0273-0979-1987-15517-0
MathSciNet review: 876964
Full-text PDF Free Access

1. V. Arnold, Les méthodes mathématiques de la mécanique classique, Éditions Mir, Moscow, 1976 (French). Traduit du russe par Djilali Embarek. MR 0474391
2. 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, https://doi.org/10.1007/BF01393824
3. Andreas Floer, Proof of the Arnol′d conjecture for surfaces and generalizations to certain Kähler manifolds, Duke Math. J. 53 (1986), no. 1, 1–32. MR 835793, https://doi.org/10.1215/S0012-7094-86-05301-9
4. Barry Fortune, A symplectic fixed point theorem for 𝐶𝑃ⁿ, Invent. Math. 81 (1985), no. 1, 29–46. MR 796189, https://doi.org/10.1007/BF01388770
5. M. Gromov, Pseudo holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), no. 2, 307–347. MR 809718, https://doi.org/10.1007/BF01388806
6. John Milnor, Lectures on the ℎ-cobordism theorem, Notes by L. Siebenmann and J. Sondow, Princeton University Press, Princeton, N.J., 1965. MR 0190942
7. Jean-Claude Sikorav, Points fixes d’une application symplectique homologue à l’identité, J. Differential Geom. 22 (1985), no. 1, 49–79 (French). 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.