A note on some high-dimensional handlebodies
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915154293161984 |
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| author | Kim, Geunyoung |
| author_facet | Kim, Geunyoung |
| contents | For $k \geq 0$ and $n \geq 2k+1$, we show that every $n$-dimensional $k$-handlebody is the product of a $2k$-dimensional $k$-handlebody and the standard $(n-2k)$-ball. For $k \geq 2$ and $n \geq 2k$, we introduce $(n,k)$-Kirby diagrams for some $n$-dimensional $k$-handlebodies, where $(4,2)$-Kirby diagrams correspond to the original Kirby diagrams for $4$-dimensional $2$-handlebodies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11314 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on some high-dimensional handlebodies Kim, Geunyoung Geometric Topology 57K45, 57K50, 57R65 For $k \geq 0$ and $n \geq 2k+1$, we show that every $n$-dimensional $k$-handlebody is the product of a $2k$-dimensional $k$-handlebody and the standard $(n-2k)$-ball. For $k \geq 2$ and $n \geq 2k$, we introduce $(n,k)$-Kirby diagrams for some $n$-dimensional $k$-handlebodies, where $(4,2)$-Kirby diagrams correspond to the original Kirby diagrams for $4$-dimensional $2$-handlebodies. |
| title | A note on some high-dimensional handlebodies |
| topic | Geometric Topology 57K45, 57K50, 57R65 |
| url | https://arxiv.org/abs/2502.11314 |