The stable Morse number as a lower bound for nondegenerate Hamiltonian fixed points

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Principal Theorem 1.1: a simply connected closed Kahler $M$ ($\dim_{\mathbb R}=1412$, $\mathrm{SM}=318968$) and a Hamiltonian with all 318952 fixed points nondegenerate and contractible. Mechanism: a Hamiltonian involution on $X\times Y$ whose fixed components carry Smale-minimal Morse functions, with mixed 2- and 3-primary torsion making $4\lambda(C)<\lambda(M)$; no Floer theory. Companions: in real dimension 22 the deficit is unbounded with ratio $\le127/128$; in dimension 3332 the count attains the cyclic integral Floer bound of Bai-Xu yet is 32 below $\mathrm{SM}$. Since $\mathrm{SM}\le\mathrm{Morse}$ these also refute the Morse-number form in the simply connected setting. The homological bounds remain intact. parent of this event

VibeMathed record: The stable Morse number as a lower bound for nondegenerate Hamiltonian fixed points evidence for this event

Sharpness of the Cyclic Integral Floer Bound Below the Stable Morse Number evidence for this event

The stable Morse number as a lower bound for nondegenerate Hamiltonian fixed points parent of this event

Hamiltonian Fixed Points Below the Stable Morse Number in Dimension Twenty-Two evidence for this event

The stable Morse number as a lower bound for nondegenerate Hamiltonian fixed points evidence for this event