Minicourse: The algebraic structure of diffeomorphism groups
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چکیده
Abstract. This course introduces classical and new results on the algebraic structure of the identity component of the diffeomorphism group Diff0(M) or homeomorphism group Homeo0(M) of a compact manifold. These groups are algebraically simple (no nontrivial normal subgroups) – for deep topological reasons due to Epstein, Mather, Thurston... but nevertheless have a very rich algebraic structure. We’ll see that:
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