Extending families of homeomorphisms over 4-dimensional handlebodies
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916047853977600 |
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| author | Boyd, Rachael Bregman, Corey Steinebrunner, Jan |
| author_facet | Boyd, Rachael Bregman, Corey Steinebrunner, Jan |
| contents | Let $H_g$ denote the 4-dimensional handlebody of genus $g$ and $U_g$ its boundary. We show that for all $g \ge 0$ the map from $B Homeo(H_g)$ to $B Homeo(U_g)$ induced by restriction to the boundary admits a section. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19989 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extending families of homeomorphisms over 4-dimensional handlebodies Boyd, Rachael Bregman, Corey Steinebrunner, Jan Geometric Topology Algebraic Topology 57T20, 58D29 (primary), 57M50, 55R40, (secondary) Let $H_g$ denote the 4-dimensional handlebody of genus $g$ and $U_g$ its boundary. We show that for all $g \ge 0$ the map from $B Homeo(H_g)$ to $B Homeo(U_g)$ induced by restriction to the boundary admits a section. |
| title | Extending families of homeomorphisms over 4-dimensional handlebodies |
| topic | Geometric Topology Algebraic Topology 57T20, 58D29 (primary), 57M50, 55R40, (secondary) |
| url | https://arxiv.org/abs/2503.19989 |