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Quaternionic and contact classification ledger
Family 062: Projective contact classification and the LeBrun–Salamon conjecture. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Link positive quaternionic Kähler manifolds of real dimension at least eight with the claimed Wolf-space classification and contact companions.
Applicability and commercial boundary
Dimension, curvature and contact/Fano hypotheses cannot be inferred from an arbitrary finite point cloud.
Initial business decision
Research reference or conditional symbolic/verification engineering. No recurring buyer need, practical implementation or profitability has been demonstrated. Defer a standalone commercial product until a constructive example and a measurable workflow improvement exist. These records also identify unsupported inferences that an evidence platform could flag.
Next verification action
Extract concrete invariants and a computable example before any geometric software adapter.
Evidence scope
The repository catalog statement was individually read. Main-paper construction, effectiveness and selected formal-scope comparison remain queued for this record. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.