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user 1822
Topology of groups of automorphisms of surfaces, and high dimensional analogues.
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Accepted
Isotopy of periodic homeomorphisms of a surface along periodic homeomorphisms
The answer is "yes". It follows as part of F. Bonahon's determination of the bordism group of surface diffeomorphisms. See
Bonahon, Francis, Cobordism of automorphisms of surfaces, Ann. Sci. Éc. Norm. …
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