Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 347-01. Hamiltonian Fixed Points Below the Stable Morse Number in Dimension Twenty-Two
Manuscript map · lines 9045–9054
OpenAI@2026-10-07#rem:oai-p-347-01
Authors: OpenAI. Family 347.
Title: Hamiltonian Fixed Points Below the Stable Morse Number in Dimension Twenty-Two.
Abstract: We disprove the stable Morse lower bound for nondegenerate Hamiltonian fixed points with examples in fixed real dimension twenty-two. For every integer m ≥ 1, we construct a simply connected closed Kähler manifold with stable Morse number $80+1968m$ and a Hamiltonian diffeomorphism with exactly $80+1952m$ fixed points, all nondegenerate and with contractible orbit loops. The deficit is therefore unbounded, and the fixed-point count is at most 127/128 of the stable Morse number.
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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