Classification of generalized Seifert fiber spaces
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908949899378688 |
|---|---|
| author | Galaz-Garcia, Fernando Núñez-Zimbrón, Jesús |
| author_facet | Galaz-Garcia, Fernando Núñez-Zimbrón, Jesús |
| contents | We provide a symbolic classification of generalized Seifert fiber spaces, which were introduced by Mitsuishi and Yamaguchi in the classification of collapsing Alexandrov $3$-spaces. Additionally, we show that the canonical double branched cover of a non-manifold generalized Seifert fiber space is a Seifert manifold and compute its symbolic invariants in terms of those of the original space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02216 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of generalized Seifert fiber spaces Galaz-Garcia, Fernando Núñez-Zimbrón, Jesús Geometric Topology Differential Geometry Metric Geometry 53C23, 57S15 We provide a symbolic classification of generalized Seifert fiber spaces, which were introduced by Mitsuishi and Yamaguchi in the classification of collapsing Alexandrov $3$-spaces. Additionally, we show that the canonical double branched cover of a non-manifold generalized Seifert fiber space is a Seifert manifold and compute its symbolic invariants in terms of those of the original space. |
| title | Classification of generalized Seifert fiber spaces |
| topic | Geometric Topology Differential Geometry Metric Geometry 53C23, 57S15 |
| url | https://arxiv.org/abs/2409.02216 |