Mathematics – Geometric Topology
Scientific paper
2010-06-16
Pacific Journal of Mathematics Vol. 253, No. 2 (2011) 423--438
Mathematics
Geometric Topology
11 pages, 6 figures
Scientific paper
A family of coordinates $\psi_h$ for the Teichm\"uller space of a compact surface with boundary was introduced in \cite{l2}. In the work \cite{m1}, Mondello showed that the coordinate $\psi_0$ can be used to produce a natural cell decomposition of the Teichm\"uller space invariant under the action of the mapping class group. In this paper, we show that the similar result also works for all other coordinate $\psi_h$ for any $h \geq 0$.
Guo Ren
Luo Feng
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