Moduli Space of Paired Punctures, Cyclohedra and Particle Pairs on a Circle

Zhenjie Li, Chi Zhang

In this paper, we study a new moduli space ${\mathcal{M}}_{n+1}^{\mathrm{c}}$, which is obtained from ${\mathcal{M}}_{0,2n+2}$ by identifying pairs of punctures. We find that this spac…