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On the Arnold conjecture for weakly monotone symplectic manifolds

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We show the Arnold conjecture concerning symplectic fixed points in the case that the symplectic manifold is weakly-monotone and all the fixed points are non-degenerate. In particular, the conjecture is true in dimension 2, 4, 6 if all the fixed points are non-degenerate.

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Author notes

  1. Kaoru Ono

    Present address: Department of Mathematics, Faculty of Science, Ochanomizu University, Otsuka, 112, Tokyo, Japan

Authors and Affiliations

  1. Max-Planck-Institut für Mathematik, Gottfried-Claren-Str. 26, D-53225, Bonn, Germany

    Kaoru Ono

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  1. Kaoru Ono
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Oblatum 22-I-1993 & 15-XII-1993

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Ono, K. On the Arnold conjecture for weakly monotone symplectic manifolds. Invent Math 119, 519–537 (1995). https://doi.org/10.1007/BF01245191

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