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

Mapping class group actions from Hopf monoids and ribbon graphs