Proves infinitely many periodic points for asymptotically linear non-degenerate Hamiltonian diffeomorphisms on R^{2n} that are unitary at infinity, decay quickly to their linear part, and obey a twist condition.
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An abstract perturbation theorem for Fredholm sections on compact zero sets that preserves existing transversality and supports cobordism arguments, shown via re-proof of Schwarz's theorem on Hamiltonian action functionals.
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A Poincar\'e-Birkhoff Theorem for Asymptotically Unitary Hamiltonian Diffeomorphisms
Proves infinitely many periodic points for asymptotically linear non-degenerate Hamiltonian diffeomorphisms on R^{2n} that are unitary at infinity, decay quickly to their linear part, and obey a twist condition.
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An Abstract Perturbation Theorem for Compact Moduli Spaces
An abstract perturbation theorem for Fredholm sections on compact zero sets that preserves existing transversality and supports cobordism arguments, shown via re-proof of Schwarz's theorem on Hamiltonian action functionals.