Homeomorphisms f of a manifold M are recoverable from the marked isomorphism class of finitely generated groups of homeomorphisms containing f, with applications to critical regularity and differential rigidity of diffeomorphism groups on 1-manifolds.
Unsmoothable diffeomorphisms.Ann
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Reconstructing maps out of groups
Homeomorphisms f of a manifold M are recoverable from the marked isomorphism class of finitely generated groups of homeomorphisms containing f, with applications to critical regularity and differential rigidity of diffeomorphism groups on 1-manifolds.