The non-simply connected Price twist for the 4-sphere
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918158990835712 |
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| author | Isoshima, Tsukasa Suzuki, Tatsumasa |
| author_facet | Isoshima, Tsukasa Suzuki, Tatsumasa |
| contents | A cutting and pasting operation on a $P^2$-knot $S$ in a $4$-manifold is called the Price twist. The Price twist for the $4$-sphere $S^4$ yields at most three $4$-manifolds up to diffeomorphism, namely, the $4$-sphere $S^4$, the other homotopy $4$-sphere $Σ_{S}(S^4)$ and a non-simply connected $4$-manifold $τ_{S}(S^4)$. In this paper, we study some properties and diffeomorphism types of $τ_{S}(S^4)$ for $P^2$-knots $S$ of Kinoshita type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09332 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The non-simply connected Price twist for the 4-sphere Isoshima, Tsukasa Suzuki, Tatsumasa Geometric Topology 57K45, 57R65, 57K10, 57K40 A cutting and pasting operation on a $P^2$-knot $S$ in a $4$-manifold is called the Price twist. The Price twist for the $4$-sphere $S^4$ yields at most three $4$-manifolds up to diffeomorphism, namely, the $4$-sphere $S^4$, the other homotopy $4$-sphere $Σ_{S}(S^4)$ and a non-simply connected $4$-manifold $τ_{S}(S^4)$. In this paper, we study some properties and diffeomorphism types of $τ_{S}(S^4)$ for $P^2$-knots $S$ of Kinoshita type. |
| title | The non-simply connected Price twist for the 4-sphere |
| topic | Geometric Topology 57K45, 57R65, 57K10, 57K40 |
| url | https://arxiv.org/abs/2505.09332 |