For every finite quiver, including loops and multiple arrows, and every regular stability character with stable semistable locus and free gauge action, the equivariant cohomology algebra of its Nakajima variety is canonically isomorphic to the coordinate ring of the scheme-theoretic stability-cocharacter fixed locus on the flavor-deformed Coulomb branch.
For every finite quiver, including loops and multiple arrows, and every regular stability character with stable semistable locus and free gauge action, the equivariant cohomology algebra of its Nakajima variety is canonically isomorphic to the coordinate ring of the scheme-theoretic stability-cocharacter fixed locus on the flavor-deformed Coulomb branch.
For every finite quiver, including loops and multiple arrows, and every regular stability character with stable semistable locus and free gauge action, the equivariant cohomology algebra of its Nakajima variety is canonically isomorphic to the coordinate ring of the scheme-theoretic stability-cocharacter fixed locus on the flavor-deformed Coulomb branch.
If correct, proves the cohomological Hikita identification across all finite quivers under the stated regularity hypothesis.
Does the equivariant Hikita cohomology-to-fixed-scheme identification hold for every finite quiver under regular stability?
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