A spine for the decorated Teichmüller space of a punctured non-orientable surface
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916676779376640 |
|---|---|
| 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 | Building on work of Harer \cite{Ha86}, we construct a spine for the decorated Teichmüller space of a non-orientable surface with at least one puncture and negative Euler characteristic. We compute its dimension, and show that the deformation retraction onto this spine is equivariant with respect to the pure mapping class group of the non-orientable surface. As a consequence, we obtain a model for the classifying space for proper actions of the pure mapping class group of a punctured non-orientable surface, which is of minimal dimension in the case there is a single puncture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05404 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A spine for the decorated Teichmüller space of a punctured non-orientable surface Colin, Nestor Rolland, Rita Jiménez Álvarez, Porfirio L. León Saldaña, Luis Jorge Sánchez Geometric Topology Algebraic Topology Group Theory 57K20, 55R35, 20J05, 57M07, 57M50, 57M60 Building on work of Harer \cite{Ha86}, we construct a spine for the decorated Teichmüller space of a non-orientable surface with at least one puncture and negative Euler characteristic. We compute its dimension, and show that the deformation retraction onto this spine is equivariant with respect to the pure mapping class group of the non-orientable surface. As a consequence, we obtain a model for the classifying space for proper actions of the pure mapping class group of a punctured non-orientable surface, which is of minimal dimension in the case there is a single puncture. |
| title | A spine for the decorated Teichmüller space of a punctured non-orientable surface |
| topic | Geometric Topology Algebraic Topology Group Theory 57K20, 55R35, 20J05, 57M07, 57M50, 57M60 |
| url | https://arxiv.org/abs/2504.05404 |