Tootfinder

A proof of the Fields Conjectures
Satoshi Murai, Brendon Rhoades, Andy Wilson
https://arxiv.org/abs/2505.24027 https://arxiv.org/pdf/…

A proof of the Fields Conjectures
The {\em superspace ring} of rank $n$ is the algebra $Ω_n$ of differential forms on affine $n$-space. The algebra $Ω_n$ is bigraded with respect to polynomial and exterior degree and carries a natural action of the symmetric group $\mathfrak{S}_n$. Modding out by $\mathfrak{S}_n$-invariants with vanishing constant term yields the {\em superspace coinvariant ring} $SR_n$. We prove that, as an ungraded $\mathfrak{S}_n$-module, the space $SR_n$ is isomorphic to the sign-twisted permutation actio…