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A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps

math.SG · 2025-06-12 · reject · novelty 7.0

A C0-Hamiltonian twist map on a Liouville domain with symplectic cohomology nonzero in infinitely many degrees is claimed to have arbitrarily long interior periodic orbits, but the proof's action-growth exclusion of boundary orbits is not justified.

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  • A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps math.SG · 2025-06-12 · reject · none · ref 1

    A C0-Hamiltonian twist map on a Liouville domain with symplectic cohomology nonzero in infinitely many degrees is claimed to have arbitrarily long interior periodic orbits, but the proof's action-growth exclusion of boundary orbits is not justified.