A recipe for exotic 2-links in closed 4-manifolds whose components are topological unknots
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866915441728815104 |
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| author | Bais, Valentina Benyahia, Younes Malech, Oliviero Torres, Rafael |
| author_facet | Bais, Valentina Benyahia, Younes Malech, Oliviero Torres, Rafael |
| contents | We describe a construction procedure of infinite sets of $2$-links in closed simply connected 4-manifolds that are topologically isotopic, smoothly inequivalent and componentwise topologically unknotted. These 2-links are the first examples of such kind in the literature. The examples provided have surface and free groups as their 2-link groups. We also point out an exotic Brunnian behaviour of such families, which highlights the important role of linking in creating exotic phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_09659 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A recipe for exotic 2-links in closed 4-manifolds whose components are topological unknots Bais, Valentina Benyahia, Younes Malech, Oliviero Torres, Rafael Geometric Topology Differential Geometry We describe a construction procedure of infinite sets of $2$-links in closed simply connected 4-manifolds that are topologically isotopic, smoothly inequivalent and componentwise topologically unknotted. These 2-links are the first examples of such kind in the literature. The examples provided have surface and free groups as their 2-link groups. We also point out an exotic Brunnian behaviour of such families, which highlights the important role of linking in creating exotic phenomena. |
| title | A recipe for exotic 2-links in closed 4-manifolds whose components are topological unknots |
| topic | Geometric Topology Differential Geometry |
| url | https://arxiv.org/abs/2206.09659 |