arXiv:1409.2804 Abstract | arXiv Analytics

arXiv:1409.2804 [math.GT]Abstract References Reviews Resources

Lipschitz Constants To Curve Complexes For Punctured Surfaces

Published 2014-09-09Version 1

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.

Comments: 7 pages, 2 figures

Categories: math.GT

Subjects: 30F60, 32G15

Keywords: curve complexes, punctured surfaces, optimal lipschitz constants, rational number, systole map

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