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On the Hofer-Zehnder conjecture for semipositive symplectic manifolds

math.SG · 2023-09-25 · unverdicted · novelty 6.0

Proves that on closed semipositive symplectic manifolds with semisimple quantum homology, Hamiltonian diffeomorphisms exceeding the Betti number in homologically counted contractible fixed points have infinitely many periodic points.

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  • On the Hofer-Zehnder conjecture for semipositive symplectic manifolds math.SG · 2023-09-25 · unverdicted · none · ref 14

    Proves that on closed semipositive symplectic manifolds with semisimple quantum homology, Hamiltonian diffeomorphisms exceeding the Betti number in homologically counted contractible fixed points have infinitely many periodic points.