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Coherent orientations for periodic orbit problems in symplectic geometry

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References

  1. Donaldson, S.K., Kronheimer, P.B.: The Geometry of Four-Manifolds. (Oxf. Math. Monogr.) Oxford: Clarendon 1990

    MATH  Google Scholar 

  2. Floer, A.: A Relative Index for the Symplectic Action. Commun. Pure Appl. Math.41, 393–407 (1988)

    MATH  MathSciNet  Google Scholar 

  3. Floer, A.: The Unregularised Gradient Flow of the Symplectic Action. Commun. Pure Appl. Math.41, 775–813 (1988)

    MATH  MathSciNet  Google Scholar 

  4. Floer, A.: Symplectic Fixed Points and Holomorphic Spheres. Commun. Math. Phys.120, 576–611 (1989)

    Article  MathSciNet  Google Scholar 

  5. Floer, A., Elliptic Methods in Variational Problems. Proc. of the ICM Kyoto 90, 1990 (to appear)

  6. Floer, A., Hofer, H.: Symplectic Homology I: Open Sets in ℂn. (Preprint)

  7. Floer, A., Hofer, H.: Symplectic Homology II: General Symplectic Manifolds (in preparation).

  8. Floer, A., Hofer, H., Wysocki, K.: Applications of Symplectic Homology I. (preprint)

  9. Gromov, M.: Pseudoholomorphic curves in Symplectic Manifolds. Invent. Math.82, 307–347 (1985)

    Article  MATH  Google Scholar 

  10. McDuff, D.: Examples of symplectic structures. Invent. Math.89, 13–36 (1987) 11. McDuff, D.: Elliptic Methods in Symplectic Geometry. Bull. Am. Math. Soc.23 (2), 311–358 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  11. Salamon, D.: Morse Theory, the Conley Index and Floer Homology. Bull. Lond. Math. Soc.22, 113–140 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  12. Salamon, D.: Zehnder, E.: Morse Theory for Periodic Solutions of Hamiltolian Systems and the Maslov Index. (Preprint)

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Andreas Floer died on May 15th, 1991. This is the first of several joint papers concerned with a symplectic homology theory

Supported in part by DFG-SFB 237 and DAAD-Procope

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Floer, A., Hofer, H. Coherent orientations for periodic orbit problems in symplectic geometry. Math Z 212, 13–38 (1993). https://doi.org/10.1007/BF02571639

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  • DOI: https://doi.org/10.1007/BF02571639

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