Hamiltonian fixed-point lower-bound limitation library

Family 347: Counterexamples to stable-Morse and strong Arnold fixed-point bounds. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Symplectic researchers can flag stable-Morse and strong Arnold bounds contradicted by the specified finite-dimensional examples.

Applicability and commercial boundary

The counterexamples concern particular manifolds and nondegenerate Hamiltonian maps; other proven fixed-point bounds remain applicable.

Initial business decision

Research or conditional engineering only. A practical implementation, recurring buyer problem and willingness to pay have not been established. Mathematical usefulness alone is insufficient evidence for a standalone lucrative product.

Next verification action

Extract the exact manifold, fixed-point data and violated inequality.

Evidence scope

The catalog statement was individually reviewed. The manuscript proof and formal-scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Hamiltonian Fixed Points Below the Stable Morse Number in Dimension Twenty-Two.