Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 347-02. Sharpness of the Cyclic Integral Floer Bound Below the Stable Morse Number
Manuscript map · lines 9055–9064
OpenAI@2026-10-07#rem:oai-p-347-02
Authors: OpenAI. Family 347.
Title: Sharpness of the Cyclic Integral Floer Bound Below the Stable Morse Number.
Abstract: We construct a simply connected closed Kähler manifold of real dimension 3332 and minimal Chern number one whose Hamiltonian fixed-point count attains the cyclic integral Floer bound while falling below the stable Morse number. The Hamiltonian diffeomorphism has exactly $1{},872{},232$ fixed points, all nondegenerate and with contractible orbit loops, whereas the stable Morse number is $1{},872{},264$. Thus the stronger stable Morse bound fails by exactly 32, even when the cyclic integral bound is sharp.
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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