Knot surgery $4$-manifolds $E(n)_K$ without $1$- and $3$-handles
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866912828219195392 |
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| author | Lee, Ju A Yun, Ki-Heon |
| author_facet | Lee, Ju A Yun, Ki-Heon |
| contents | In this article, we demonstrate that for any positive integer $n$, the knot surgery $4$-manifold $E(n)_K$ has a handle decomposition without $1$- and $3$-handles. Here, $K$ represents either a fibered two-bridge knot $C(2ε_1, 2ε_2,\cdots, 2ε_{2g})$ ($ε_i \in \{ 1, -1\}$) in Conway's notation or a Stallings knot $K_m$ ($m \in \mathbb{Z}$). |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_11211 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Knot surgery $4$-manifolds $E(n)_K$ without $1$- and $3$-handles Lee, Ju A Yun, Ki-Heon Geometric Topology 57R65, 57R55 In this article, we demonstrate that for any positive integer $n$, the knot surgery $4$-manifold $E(n)_K$ has a handle decomposition without $1$- and $3$-handles. Here, $K$ represents either a fibered two-bridge knot $C(2ε_1, 2ε_2,\cdots, 2ε_{2g})$ ($ε_i \in \{ 1, -1\}$) in Conway's notation or a Stallings knot $K_m$ ($m \in \mathbb{Z}$). |
| title | Knot surgery $4$-manifolds $E(n)_K$ without $1$- and $3$-handles |
| topic | Geometric Topology 57R65, 57R55 |
| url | https://arxiv.org/abs/2601.11211 |