Stability-condition research adapter

Family 055: Gepner symmetry and large-volume stability on threefolds. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Organize the claimed Gepner stability condition on the quintic and exact large-volume central charges on Calabi–Yau threefolds.

Applicability and commercial boundary

Derived-category existence and phase statements do not imply an efficient optimizer or a numerical stability certificate.

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 computable charge examples and the exact category assumptions.

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.

A Gepner stability condition on every smooth quintic threefold.