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<i>OE</i>and<i>W</i>* superrigidity results for actions by surface braid groups

<i>OE</i>and<i>W</i>* superrigidity results for actions by surface braid groups

We show that several important normal subgroups Γ of the mapping class group of a surface satisfy the following property: any free, ergodic, probability measure-preserving action Γ ↷ X is stably O E -superrigid. These include the central quotients of most surface braid groups and most Torelli groups and Johnson …