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Knot surgery distinctness research contract
Family 306: The purely cosmetic surgery conjecture. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Track orientation-preserving distinctness of Dehn surgeries along distinct slopes for a nontrivial knot in the three-sphere.
Applicability and commercial boundary
Including the meridian and fixing orientation matter; the theorem is not a knot-recognition or homeomorphism algorithm.
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 finite knot examples and check independently computed surgery invariants.
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.