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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Occurred: Sep 24, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: announcement. AI contribution: ai-discovered. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.
Canonical aliases: The equivariant cohomological Hikita conjecture for quiver gauge theories · Equivariant Hikita conjecture for quivers
Confidence: Not scored
Registry verification: unreviewed · announcement · candidate
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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. parent of this event
The equivariant cohomological Hikita conjecture for quiver gauge theories evidence for this event
Dumanski and Krylov, K-theoretic Hikita conjecture for quiver gauge theories (2025) evidence for this event
VibeMathed record: The equivariant cohomological Hikita conjecture for quiver gauge theories evidence for this event
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