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arXiv · 2409.04392

On the dimension of Harer's spine for the decorated Teichm\"uller space

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

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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Nestor Colin, Rita Jiménez Rolland, Porfirio L. León Álvarez, Luis Jorge Sánchez Saldaña. 2024-09-06. On the dimension of Harer's spine for the decorated Teichm\"uller space. https://arxiv.org/abs/2409.04392

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