The bigraded S_n-isomorphism type of the superspace coinvariant ring SR_n equals the sign-twisted permutation action on ordered set partitions, proving the Fields Conjectures.
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A proof of the Fields Conjectures
The bigraded S_n-isomorphism type of the superspace coinvariant ring SR_n equals the sign-twisted permutation action on ordered set partitions, proving the Fields Conjectures.