Small covers as pullbacks from the simplex
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910130232098816 |
|---|---|
| author | Choi, Suyoung Jang, Hyeontae Yoon, Younghan |
| author_facet | Choi, Suyoung Jang, Hyeontae Yoon, Younghan |
| contents | We introduce and study small covers that are pullbacks from the simplex, extending pullbacks from the linear model. Our main result gives several equivalent characterizations of this class, including torsion-freeness of odd-degree integral cohomology, vanishing of the first Steenrod square on even-degree mod $2$ cohomology, and relations among integral and mod $2$ Betti numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13437 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Small covers as pullbacks from the simplex Choi, Suyoung Jang, Hyeontae Yoon, Younghan Algebraic Topology 57S12, 14M25, 55N10, 57R19 We introduce and study small covers that are pullbacks from the simplex, extending pullbacks from the linear model. Our main result gives several equivalent characterizations of this class, including torsion-freeness of odd-degree integral cohomology, vanishing of the first Steenrod square on even-degree mod $2$ cohomology, and relations among integral and mod $2$ Betti numbers. |
| title | Small covers as pullbacks from the simplex |
| topic | Algebraic Topology 57S12, 14M25, 55N10, 57R19 |
| url | https://arxiv.org/abs/2604.13437 |