A criterion of convergence in the augmented Teichmueller space

Abstract

We prove a criterion of convergence in the augmented Teichmueller space that can be phrased in terms of convergence of the hyperbolic metrics or of quasiconformal convergence away from the nodes.

13 pages, 1 figure

Cited by in corpus (3)

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• Thurston's metric on Teichmüller space and the translation lengths of mapping classes
• Riemann surfaces with boundary and natural triangulations of the Teichmueller space