Knotted surfaces, Homological Norm and Extendable Subgroup
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908631306338304 |
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| author | Liu, Qiling |
| author_facet | Liu, Qiling |
| contents | We prove that for arbitrary g, there is a surface K of genus g embedded in S4, which has finitely many extendable self-homeomorphisms' action on H1(K,Z), by defining a norm on H1(K,Z) and proving its additivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03648 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Knotted surfaces, Homological Norm and Extendable Subgroup Liu, Qiling General Topology We prove that for arbitrary g, there is a surface K of genus g embedded in S4, which has finitely many extendable self-homeomorphisms' action on H1(K,Z), by defining a norm on H1(K,Z) and proving its additivity. |
| title | Knotted surfaces, Homological Norm and Extendable Subgroup |
| topic | General Topology |
| url | https://arxiv.org/abs/2511.03648 |