Quasipositive fiber surfaces are not well-quasi-ordered
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909809652006912 |
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| author | Breen, Joseph Capovilla-Searle, Michele |
| author_facet | Breen, Joseph Capovilla-Searle, Michele |
| contents | By exhibiting an explicit infinite anti-chain, we show that the class of quasipositive fiber surfaces in $S^3$ is not well-quasi-ordered under the surface minor relation. This answers questions raised by Baader-Dehornoy-Liechti and Dehornoy-Lunel-de Mesmay in the negative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22608 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasipositive fiber surfaces are not well-quasi-ordered Breen, Joseph Capovilla-Searle, Michele Geometric Topology Symplectic Geometry 57M25 By exhibiting an explicit infinite anti-chain, we show that the class of quasipositive fiber surfaces in $S^3$ is not well-quasi-ordered under the surface minor relation. This answers questions raised by Baader-Dehornoy-Liechti and Dehornoy-Lunel-de Mesmay in the negative. |
| title | Quasipositive fiber surfaces are not well-quasi-ordered |
| topic | Geometric Topology Symplectic Geometry 57M25 |
| url | https://arxiv.org/abs/2509.22608 |