On the dimension of Harer's spine for the decorated Teichmüller space
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909307537195008 |
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| author | Colin, Nestor Rolland, Rita Jiménez Álvarez, Porfirio L. León Saldaña, Luis Jorge Sánchez |
| author_facet | Colin, Nestor Rolland, Rita Jiménez Álvarez, Porfirio L. León Saldaña, Luis Jorge Sánchez |
| contents | In \cite{Ha86} Harer explicitly constructed a spine for the decorated Teichmüller 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04392 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the dimension of Harer's spine for the decorated Teichmüller space Colin, Nestor Rolland, Rita Jiménez Álvarez, Porfirio L. León Saldaña, Luis Jorge Sánchez Geometric Topology Algebraic Topology Group Theory In \cite{Ha86} Harer explicitly constructed a spine for the decorated Teichmüller 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. |
| title | On the dimension of Harer's spine for the decorated Teichmüller space |
| topic | Geometric Topology Algebraic Topology Group Theory |
| url | https://arxiv.org/abs/2409.04392 |