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arXiv 1409.2804math.GT
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穿孔曲面的Lipschitz常数

Lipschitz Constants To Curve Complexes For Punctured Surfaces

Aaron D. Valdivia

摘要:

我们给出了从Teichmuller空间到曲线复形的收缩映射的最佳Lipschitz常数的渐近界。当亏格固定或亏格与穿孔之比为有理数时,我们给出了与已知的闭曲面相似的结果。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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