Algebraic Structure of Diffeomorphism Groups of One-Manifolds
Group Theory
2019-04-19 v1 Dynamical Systems
Geometric Topology
Abstract
It is a celebrated result of Mather that the group of --diffeomorphisms of an --manifold is simple, provided that a mild isotopy condition is satisfied, with the possible exception of . The purpose of this article is mostly expository, and in it we give a detailed account of Mather's proof in the case when .
Cite
@article{arxiv.1904.08793,
title = {Algebraic Structure of Diffeomorphism Groups of One-Manifolds},
author = {Jaewon Chang and Sang-hyun Kim and Thomas Koberda},
journal= {arXiv preprint arXiv:1904.08793},
year = {2019}
}
Comments
48 pages