Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866910455417536512 |
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| author | Torres, Rafael |
| author_facet | Torres, Rafael |
| contents | We point out that recent constructions of inequivalent smooth structures yield a manufacturing procedure of infinite sets of pairwise smoothly non-isotopic nullhomologous 2-tori and spheres inside a myriad of 4-manifolds. The corresponding infinite set consists of topologically isotopic surfaces that topologically bound a handlebody in several instances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_11696 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds Torres, Rafael Geometric Topology We point out that recent constructions of inequivalent smooth structures yield a manufacturing procedure of infinite sets of pairwise smoothly non-isotopic nullhomologous 2-tori and spheres inside a myriad of 4-manifolds. The corresponding infinite set consists of topologically isotopic surfaces that topologically bound a handlebody in several instances. |
| title | Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2005.11696 |