Mapping class group actions from Hopf monoids and ribbon graphs

We show that any pivotal Hopf monoid $H$ in a symmetric monoidal category $\mathcal{C}$ gives rise to actions of mapping class groups oriented surfaces genus $g \geq 1$ with $n boundary components. These group are given by homomorphisms into the automorphisms certain Yetter-Drinfeld modules over $H$. They associated edge slides embedded ribbon graphs generalise chord diagrams. give concrete description these terms generating Dehn twists and defining relations. For case where is finitely complete cocomplete, we also obtain closed imposing invariance coinvariance under module structure.