Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 347-03. Hamiltonian Fixed Points Below the Stable Morse Number
Manuscript map · lines 9065–9074
OpenAI@2026-10-07#rem:oai-p-347-03
Authors: OpenAI. Family 347.
Title: Hamiltonian Fixed Points Below the Stable Morse Number.
Abstract: We disprove the stable Morse lower bound for nondegenerate Hamiltonian fixed points by constructing a simply connected closed Kähler manifold with sixteen fewer fixed points than its stable Morse number. All the corresponding periodic orbits are contractible. The construction combines a Hamiltonian involution with integral homology torsion at two different primes; its proof uses finite-dimensional Morse theory and complex blowups.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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