Isomorphisms between curve graphs of infinite-type surfaces are geometric

Jesús Hernández Hernández, Israel Morales, Ferrán Valdez

Let $\varphi :\mathcal{C}(S)\to \mathcal{C}(S^{\prime })$ be a simplicial isomorphism between the curve graphs of two infinite-type surfaces. In this paper we show that in this situation $S$ and $S…