Quiver cohomology correspondence adapter

Family 044: The equivariant cohomological Hikita conjecture. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Organize Hikita-type correspondences between equivariant cohomology and a fixed-point scheme of a Coulomb branch.

Applicability and commercial boundary

Loops, framings, cocharacters and stable/free gauge hypotheses matter. No generic quiver optimization speedup is established.

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

Inspect finite presentations and compute a small instance against existing symbolic software.

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.

The equivariant cohomological Hikita conjecture for arbitrary quivers.