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.
Duke Math
2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
Existence of at least one J-holomorphic disc is shown for every sufficiently small height parameter from any rigid transversely cut-out Y-Morse tree via obstruction bundle gluing.
citing papers explorer
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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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From Morse Trees to $J$-Holomorphic Discs -- Rigid Y-Graphs
Existence of at least one J-holomorphic disc is shown for every sufficiently small height parameter from any rigid transversely cut-out Y-Morse tree via obstruction bundle gluing.