The uniform perfectness of diffeomorphism groups of open manifolds
Geometric Topology
2019-05-21 v1 Differential Geometry
Dynamical Systems
Group Theory
Abstract
In this paper we study the uniform perfectness, boundedness and uniform simplicity of diffeomorphism groups of compact manifolds with boundary and open manifolds and obtain some upper bounds of their diameters with respect to commutator length, those with support in balls and conjugation-generated norm.
Keywords
Cite
@article{arxiv.1905.07664,
title = {The uniform perfectness of diffeomorphism groups of open manifolds},
author = {Kazuhiko Fukui and Tomasz Rybicki and Tatsuhiko Yagasaki},
journal= {arXiv preprint arXiv:1905.07664},
year = {2019}
}
Comments
54 pages