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Cell decompositions of Teichmller spaces of surfaces with boundary

Ren Guo Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43812

Pacific journal of mathematics, 253, (2), 423-438, 2012.1
A family of coordinates h for the Teichmller space of a compact surface with boundary was introduced by the second author. Mondello showed that the coordinate 0 can be used to produce a natural cell decomposition of the Teichmller space, invariant under the action of the mapping class group. In this paper, we show that, for any h 0, the coordinate h produces a natural cell decomposition of the Teichmller space.
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@inproceedings{ren2012cell,
  title={Cell decompositions of Teichmller spaces of surfaces with boundary},
  author={Ren Guo, and Feng Luo},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205938464388376},
  booktitle={Pacific journal of mathematics},
  volume={253},
  number={2},
  pages={423-438},
  year={2012},
}
Ren Guo, and Feng Luo. Cell decompositions of Teichmller spaces of surfaces with boundary. 2012. Vol. 253. In Pacific journal of mathematics. pp.423-438. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205938464388376.
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