Dihedral sign patterns in $\mathcal{M}_{0,n}$
Veronica Calvo Cortes, Hannah Tillmann-Morris
公開日: 2025/8/20
Abstract
The connected components of $\mathcal{M}_{0,n}(\mathbb{R})$ are in bijection with the $(n-1)!/2$ dihedral orderings of $[n]$. They are all isomorphic. We construct monomial maps between them, and use these maps to prove a conjecture of Arkani-Hamed, He, and Lam in the case of $\mathcal{M}_{0,n}$. Namely, we provide a bijection between connected components and sign patterns that are consistent with the extended $u$-relations for the dihedral embedding.