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Lagrangian tori in a symplectic vector space and global symplectomorphisms

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References

  1. Arnold, V.I.: On the characteristic class entering in the quantization condition. Funct. Anal. Appl.1, 1–13 (1967)

    Article  Google Scholar 

  2. Arnold, V.I. : Sur les propriétés topologiques des projections lagrangiennes en géométrie symplectique des caustiques. Preprint CEREMADE, Université Paris-Dauphine, 1993

  3. Audin, M.: Fibrés normaux d’immersions en dimension double, points doubles d’immersions lagrangiennes et plongements totalement reels. Comm. Math. Helv.63, 593–623 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  4. Ekeland, I., Hofer, H.: Symplectic topology and Hamiltonian dynamics. Math. Z.200, 355–378 (1988)

    Article  MathSciNet  Google Scholar 

  5. Ekeland, I., Hofer, H.: Symplectic topology and Hamiltonian dynamics II. Math. Z.203, 553–567 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  6. Gromov, M.: Pseudo holomorphic curves in symplectic manifolds. Invent. Math.82, 307–347 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  7. Gromov, M.: Partial differential relations. Berlin, Heidelberg, New York: Springer 1986

    MATH  Google Scholar 

  8. Hofer, H.: On the topological properties of symplectic maps. Proc. Roy. Soc. Edinburgh, Ser. A,115, 25–38 (1990)

    MATH  MathSciNet  Google Scholar 

  9. Hofer, H.: Symplectic invariants. In: Proceedings of the International Congress of Mathematicians in Kyoto, 1990. Berlin, Heidelberg, New York: Springer 1991

    Google Scholar 

  10. Luttinger, K. : Lagrangian tori in ℝ4. Preprint, 1992

  11. Polterovich, L.: The surgery of Lagrange submanifolds. Geom. and Funct. Anal.2, 213–246 (1991)

    Google Scholar 

  12. Polterovich, L.: The Maslov class of Lagrange surfaces and Gromov’s pseudo-holomorphic curves. Trans. Amer. Math. Soc.325, 241–248 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  13. Sikorav, J.-C. : Quelques proriétés des plongement lagrangiennes. Preprint, 1990

  14. Viterbo, C.: Capacités symplectiques et applications. Séminaire Bourbaki, no 714, Astérisque177–178, 345–362 (1989)

    MathSciNet  Google Scholar 

  15. Viterbo, C.: A new obstruction to embedding Lagrangian tori. Invent. Math.100, 301–320 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  16. Viterbo, C.: Plongement lagrangiens et capacités symplectic des tores dans ℝ2n. C. R. Acad. Sci. Paris, Sér. I, Math.311, 487–490 (1990)

    MATH  MathSciNet  Google Scholar 

  17. Viterbo, C.: Une infinité de tores lagrangiens distincts ayants mêmes “invariants classiques”. C. R. Acad. Sci. Paris, Sér. I, Math.311, 727–729 (1990)

    MATH  MathSciNet  Google Scholar 

  18. Weinstein, A.: Symplectic manifolds and their lagrangian submanifolds. Adv. Math.6, 329–346 (1971)

    Article  MATH  Google Scholar 

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  1. Moscow Center for Continuous Mathematics Education, B. Vlasievsky per. 3, 121002, Moscow, Russia

    Yu. V. Chekanov

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  1. Yu. V. Chekanov
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Chekanov, Y.V. Lagrangian tori in a symplectic vector space and global symplectomorphisms. Math Z 223, 547–559 (1996). https://doi.org/10.1007/PL00004278

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  • DOI: https://doi.org/10.1007/PL00004278

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