Simplicial cell decompositions of ${\mathbb{CP}}^n$

Basudeb Datta, Jonathan Spreer

According to a well-known result in geometric topology, we have \linebreak ${\left({\mathbb{S}}^2\right)}^n/\mathrm{Sym}(n)={\mathbb{CP}}^n$, where $\operatorname{Sym}(…