An algorithm for Seifert surfaces in 3-manifolds via surgery presentations
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911464281866240 |
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| author | Kim, Geunyoung |
| author_facet | Kim, Geunyoung |
| contents | The classical Seifert algorithm provides an explicit construction of a Seifert surface for any link in $S^3$. Alegria and Menasco extended this construction to integral homology $3$-spheres using Heegaard splittings. In this paper, we extend the Seifert algorithm to null-homologous links in arbitrary $3$-manifolds via surgery on framed links in $S^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20441 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An algorithm for Seifert surfaces in 3-manifolds via surgery presentations Kim, Geunyoung Geometric Topology 57K10, 57K30 The classical Seifert algorithm provides an explicit construction of a Seifert surface for any link in $S^3$. Alegria and Menasco extended this construction to integral homology $3$-spheres using Heegaard splittings. In this paper, we extend the Seifert algorithm to null-homologous links in arbitrary $3$-manifolds via surgery on framed links in $S^3$. |
| title | An algorithm for Seifert surfaces in 3-manifolds via surgery presentations |
| topic | Geometric Topology 57K10, 57K30 |
| url | https://arxiv.org/abs/2602.20441 |