The Euler class of infinite-type surface bundles
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908558504755200 |
|---|---|
| author | Bustamante, Mauricio Rolland, Rita Jiménez Morales, Israel |
| author_facet | Bustamante, Mauricio Rolland, Rita Jiménez Morales, Israel |
| contents | We study the Euler class of smooth orientable infinite-type surface bundles with a section. For many such surfaces, we show that this cohomology class is nontrivial, and that the behavior of its powers depends on the genus and the type of ends. As an application, we extend Morita's non-lifting theorem to many infinite-type surfaces, including surfaces of infinite genus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_21093 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Euler class of infinite-type surface bundles Bustamante, Mauricio Rolland, Rita Jiménez Morales, Israel Geometric Topology Algebraic Topology 57R20, 55R40, 57R22, 57K20 We study the Euler class of smooth orientable infinite-type surface bundles with a section. For many such surfaces, we show that this cohomology class is nontrivial, and that the behavior of its powers depends on the genus and the type of ends. As an application, we extend Morita's non-lifting theorem to many infinite-type surfaces, including surfaces of infinite genus. |
| title | The Euler class of infinite-type surface bundles |
| topic | Geometric Topology Algebraic Topology 57R20, 55R40, 57R22, 57K20 |
| url | https://arxiv.org/abs/2509.21093 |