A Combinatorial Model for the Teichmuller Metric

Kasra Rafi

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A Combinatorial Model for the Teichmuller Metric

Kasra Rafi

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Abstract

We study how the length and the twisting parameter of a curve change along a Teichmuller geodesic. We then use our results to provide a formula for the Teichmuller distance between two hyperbolic metrics on a surface, in terms of the combinatorial complexity of curves of bounded lengths in these two metrics.

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Kasra Rafi. 2005-09-24. A Combinatorial Model for the Teichmuller Metric. https://arxiv.org/abs/math/0509584

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