Embedding surfaces in 4-manifolds
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913489022353408 |
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| author | Kasprowski, Daniel Powell, Mark Ray, Arunima Teichner, Peter |
| author_facet | Kasprowski, Daniel Powell, Mark Ray, Arunima Teichner, Peter |
| contents | We prove a surface embedding theorem for 4-manifolds with good fundamental group in the presence of dual spheres, with no restriction on the normal bundles. The new obstruction is a Kervaire-Milnor invariant for surfaces and we give a combinatorial formula for its computation. For this we introduce the notion of band characteristic surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_03961 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Embedding surfaces in 4-manifolds Kasprowski, Daniel Powell, Mark Ray, Arunima Teichner, Peter Geometric Topology 57K40, 57N35 We prove a surface embedding theorem for 4-manifolds with good fundamental group in the presence of dual spheres, with no restriction on the normal bundles. The new obstruction is a Kervaire-Milnor invariant for surfaces and we give a combinatorial formula for its computation. For this we introduce the notion of band characteristic surfaces. |
| title | Embedding surfaces in 4-manifolds |
| topic | Geometric Topology 57K40, 57N35 |
| url | https://arxiv.org/abs/2201.03961 |