论装饰的泰希米勒空间的哈勒脊线维度

arXiv - MATH - Group Theory Pub Date : 2024-09-06 DOI:arxiv-2409.04392

Nestor Colin, Rita Jiménez Rolland, Porfirio L. León Álvarez, Luis Jorge Sánchez Saldaña

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摘要

在《Ha86》中中，哈勒明确地为至少有一个穿刺且欧拉特性为负的可定向曲面的装饰特希姆/"uller 空间构造了一个脊。在本文中，我们指出了他计算的这个脊柱的维数偏差 1 美元的一些情况，并给出了正确的维数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the dimension of Harer's spine for the decorated Teichmüller space

In \cite{Ha86} Harer explicitly constructed a spine for the decorated Teichm\"uller space of orientable surfaces with at least one puncture and negative Euler characteristic. In this paper we point out some instances where his computation of the dimension of this spine is off by $1$ and give the correct dimension.

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arXiv - MATH - Group Theory

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