Knot surgered elliptic surfaces for a $(2,2h+1)$-torus knot
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866908279392698368 |
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| author | Monden, Naoyuki Yabuguchi, Reo |
| author_facet | Monden, Naoyuki Yabuguchi, Reo |
| contents | We show that for any positive integer $h$, a knot surgered elliptic surface $E(n)_{T(2,2h+1)}$ for a $(2,2h+1)$-torus knot $T(2,2h+1)$ and the elliptic surface $E(1)_{2,2h+1}$ admit handle decompositions without 1- and 3-handles using the Kirby diagrams derived from Lefschetz fibrations on them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06102 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Knot surgered elliptic surfaces for a $(2,2h+1)$-torus knot Monden, Naoyuki Yabuguchi, Reo Geometric Topology 57R65, 57R55 We show that for any positive integer $h$, a knot surgered elliptic surface $E(n)_{T(2,2h+1)}$ for a $(2,2h+1)$-torus knot $T(2,2h+1)$ and the elliptic surface $E(1)_{2,2h+1}$ admit handle decompositions without 1- and 3-handles using the Kirby diagrams derived from Lefschetz fibrations on them. |
| title | Knot surgered elliptic surfaces for a $(2,2h+1)$-torus knot |
| topic | Geometric Topology 57R65, 57R55 |
| url | https://arxiv.org/abs/2503.06102 |