Geometric Analysis and Geometric Topologymathscidoc:1912.43830
arXiv preprint math/9905139
Given a 3-holed sphere decomposition of an orientable closed surface, it is shown that each orientation preserving homeomorphism of the surface is isotopic to a composition AB where A is a product of positive Dehn twists and B is a product of negative Dehn twists on the decomposition curves.
@inproceedings{fengproducts,
title={Products of Positive Dehn-twists on Surfaces},
author={Feng Luo},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210045812434394},
booktitle={arXiv preprint math/9905139},
}
Feng Luo. Products of Positive Dehn-twists on Surfaces. In arXiv preprint math/9905139. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210045812434394.