A canonical cellular decomposition of the Teichmuller space of compact surfaces with boundary
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Abstract:Using the Euclidean decomposition of the hyperbolic surface, R. C. Penner gave a canonical cellular decomposition of the decorated Teichmüller space of punctured surfaces, which is invariant by the action of the mapping class group. Adapting his method, we give a canonical cellular decomposition of the Teichmüller space of compact orientable surfaces with non-empty boundary.
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