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P=W cohomology computation cross-check
Family 043: <i>P</i> = <i>W</i> for fixed-determinant SL<sub><i>n</i></sub> moduli spaces. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Compare perverse and weight filtrations for coprime fixed-determinant traceless Higgs moduli, including composite ranks.
Applicability and commercial boundary
P=W is unrelated to computational P versus NP; complete cohomology and variant-part statements require the exact moduli data.
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
Identify independently computable low-rank filtrations for a research fixture.
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.