A Combinatorial Model for the Teichmuller Metric

Details A Combinatorial Model for the Teichmuller Metric A Combinatorial Model for the Teichmuller Metric

2005-09-24

arxiv.org/abs/math/0509584v1

Mathematics

Geometric Topology

21 pages

Scientific paper

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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