  A multiarc and curve graph is a simplicial graph whose vertices are arc and
curve systems on a compact, connected, orientable surface S. We show that all
multiarc and curve graphs preserved by the natural action of PMod(S) and whose
adjacent vertices have bounded geometric intersection number are hierarchically
hyperbolic spaces with respect to witness subsurface projection. This result
extends work of Kate Vokes on twist-free multicurve graphs and confirms two
conjectures of Saul Schleimer in a broad setting. In addition, we prove that
the PMod(S)-equivariant quasi-isometry type of such a graph is fully classified
by the set of its witness subsurfaces.

Geometric Topology