A Combinatorial Model for the Teichmuller Metric
classification
🧮 math.GT
keywords
teichmullercombinatorialmetricsalongboundedchangecomplexitycurve
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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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