The topology of spaces of polygons

Michael Farber, Viktor Fromm

Let $E_d(\ell )$ denote the space of all closed $n$-gons in ${\mathbb{R}}^d$ (where $d\ge 2$) with sides of length ${\ell }_1,...,{\ell }_n$, viewed up to translations. The spaces $E_d(\ell )$…