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geometry-topology / Geometric representation theory; symplectic duality; Coulomb branches

The equivariant cohomological Hikita conjecture for quiver gauge theories

Claims the equivariant cohomological Hikita conjecture for all quiver gauge theories with regular stability: the flavor-equivariant cohomology of the Nakajima variety is canonically the coordinate ring of the scheme-theoretic stability-cocharacter fixed locus of the flavor-deformed Coulomb branch, including the empty case. It does NOT prove the quantized Hikita statement, nor extend to arbitrary reductive gauge groups, where Hikita-type identifications can fail, nor treat non-regular stability.

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geometry-topologySep 24, 2026Significance 30/100Registry: unreviewed

The equivariant cohomological Hikita conjecture for quiver gauge theories

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Claims the equivariant cohomological Hikita conjecture for all quiver gauge theories with regular stability: the flavor-equivariant cohomology of the Nakajima variety is canonically the coordinate ring of the scheme-theoretic stability-cocharacter fixed locus of the flavor-deformed Coulomb branch, including the empty case. It does NOT prove the quantized Hikita statement, nor extend to arbitrary reductive gauge grou…

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Claims the equivariant cohomological Hikita conjecture for all quiver gauge theories with regular stability: the flavor-equivariant cohomology of the Nakajima variety is canonically the coordinate ring of the scheme-theoretic stability-cocharacter fixed locus of the flavor-deformed Coulomb branch, including the empty case. It does NOT prove the quantized Hikita statement, nor extend to arbitrary reductive gauge groups, where Hikita-type identifications can fail, nor treat non-regular stability.

Claims the equivariant cohomological Hikita conjecture for all quiver gauge theories with regular stability: the flavor-equivariant cohomology of the Nakajima variety is canonically the coordinate ring of the scheme-theoretic stability-cocharacter fixed locus of the flavor-deformed Coulomb branch, including the empty case. It does NOT prove the quantized Hikita statement, nor extend to arbitrary reductive gauge groups, where Hikita-type identifications can fail, nor treat non-regular stability.

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The equivariant cohomological Hikita conjecture for quiver gauge theories — Mathematical Frontier Network