Products of Positive Dehn-twists on Surfaces

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc: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.
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@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.
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