Topological rigidity of Hamiltonian loops and quantum homology

Inventiones Mathematicae

Volumn 135, Issue 2, 1999, Pages 369-385

  Lalonde, François ^a   McDuff, Dusa ^b   Polterovich, Leonid ^c  

^a UNIVERSITÉ DU QUÉBEC À MONTRÉAL   (Canada)

^b STONY BROOK UNIVERSITY   (United States)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033248913     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050289     Document Type: Article

References (21)

1. [BP] M. Bialy, L. Polterovich, Hamiltonian diffeomorphisms and Lagrangian distributions, Geom. and Funct. Anal. 2, 173-210 (1992)
2. [FO] K. Fukaya, K. Ono, Arnold conjecture and Gromov-Witten invariants, preprint (1996)
3. [G] R. Gompf, A new construction for symplectic 4-manifolds, Annals of Mathematics, 142, 527-595 (1995)
4. [GH] P. Griffiths, J. Harris, Principles of algebraic geometry. Wiley, New York (1978)
5. [HS] H. Hofer, D. Salamon, in preparation
6. [K] F. Kirwan, Cohomology of quotients in symplectic and algebraic geometry. Mathematics Notes, 31. Princeton University Press 1984
7. [LMP1] F. Lalonde, D. McDuff, L. Polterovich, On the Flux conjectures, preprint dg-ga/9706015, to appear in the Proceedings of the CRM Workshop on Geometry, Topology and Dynamics, Montreal 1995, CRM Special Series pubished by the AMS, 1997
8. [LMP2] F. Lalonde, D. McDuff, L. Polterovich, in preparation
9. [LiT] Jun Li, G. Tian, Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds, preprint 1996
10. [LT] G. Liu, G. Tian, Floer homology and Arnold conjecture, preprint 1996
11. [LO] G. Lupton, J. Oprea, Cohomologically symplectic spaces, toral actions and the Gottlieb group, Trans. Amer. Math. Soc. 347, 261-288 (1995)
12. [M1] D. McDuff, Symplectic diffeomorphisms and the flux homomorphism, Inv. Math., 77, 353-66 (1984)
13. [M2] D. McDuff, Recent developments in Symplectic Topology, to appear in Proceedings of the 2nd European Congress, Budapest (1996)
14. [MS1] D. McDuff, D.A. Salamon, J-holomorphic curves and quantum cohomology, Amer Math Soc Lecture Notes #6, Amer. Math. Soc. Providence (1995)
15. [MS2] D. McDuff, D.A. Salamon, Introduction to Symplectic Topology, OUP, Oxford, (1995)
16. [PSS] S. Piunikhin, D. Salamon, M. Schwarz, Symplectic Floer-Donaldson theory and Quantum Cohomology, Contact and Symplectic Geometry, ed C. Thomas, Proceedings of the 1994 Newton Institute Conference, CUP, Cambridge (1996)
17. [P1] L. Polterovich, Hamiltonian loops and Arnold's principle, Amer. Math. Soc. Transl. (2) 180, 181-187 (1997)
18. [P2] L. Polterovich, Symplectic aspects of the first eigenvalue, preprint dgga/9705003, to appear in Crelle's Journal
19. [R] Y. Ruan, Virtual neighbourhoods and pseudo-holomorphic curves, Preprint alg-geom/9611021
20. [RT] Y. Ruan, G. Tian, A mathematical theory of quantum cohomology, Journ Diff Geo 42, 259-367 (1995)
21. 1 of symplectic automorphism groups and invertibles in quantum homology rings, Geom. and Funct. Anal. 7, 1046-1095 (1997)