OpenAI reports unbounded stable-Morse fixed-point deficits in dimension 22

For each integer m≥1, there is a simply connected closed Kähler manifold of real dimension 22 with stable Morse number 80+1968m and a Hamiltonian diffeomorphism with exactly 80+1952m fixed points, all nondegenerate with contractible orbit loops.

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Understanding the problem

Read the background

For each integer m≥1, there is a simply connected closed Kähler manifold of real dimension 22 with stable Morse number 80+1968m and a Hamiltonian diffeomorphism with exactly 80+1952m fixed points, all nondegenerate with contractible orbit loops.

Why it matters

If correct, shows unbounded failure of the stable-Morse bound within one fixed dimension and manifold class.

What counts as progress

Can the gap below the stable-Morse bound grow without increasing the manifold dimension?

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