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arXiv · 1409.2804

Lipschitz Constants To Curve Complexes For Punctured Surfaces

Aaron D. Valdivia
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Abstract

We give asymptotic bounds for the optimal Lipschitz constants for the systole map from the Teichmuller space to the curve complex. We give similar results to those known for closed surfaces in the cases when the genus is fixed or the ratio of genus and punctures is a rational number.

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Aaron D. Valdivia. 2014-09-09. Lipschitz Constants To Curve Complexes For Punctured Surfaces. https://arxiv.org/abs/1409.2804

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