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arxiv: 1904.08793 · v1 · pith:Z76UGCPJnew · submitted 2019-04-18 · 🧮 math.GR · math.DS· math.GT

Algebraic Structure of Diffeomorphism Groups of One-Manifolds

Jaewon Chang , Sang-hyun Kim , Thomas Koberda This is my paper
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It is a celebrated result of Mather that the group of $C^k$--diffeomorphisms of an $n$--manifold is simple, provided that a mild isotopy condition is satisfied, with the possible exception of $k=n+1$. The purpose of this article is mostly expository, and in it we give a detailed account of Mather's proof in the case when $n=1$.

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