Automorphisms of the compression body graph
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2015
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| _version_ | 1866910357502558208 |
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| author | Biringer, Ian Vlamis, Nicholas G. |
| author_facet | Biringer, Ian Vlamis, Nicholas G. |
| contents | When $S$ is a closed, orientable surface with genus $g(S) \geq 2$, we show that the automorphism group of the compression body graph $\mathcal{CB}(S)$ is the mapping class group. Here, vertices are compression bodies with exterior boundary $S$, and edges connect pairs of compression bodies where one contains the other. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1508_02993 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Automorphisms of the compression body graph Biringer, Ian Vlamis, Nicholas G. Geometric Topology 57M99 When $S$ is a closed, orientable surface with genus $g(S) \geq 2$, we show that the automorphism group of the compression body graph $\mathcal{CB}(S)$ is the mapping class group. Here, vertices are compression bodies with exterior boundary $S$, and edges connect pairs of compression bodies where one contains the other. |
| title | Automorphisms of the compression body graph |
| topic | Geometric Topology 57M99 |
| url | https://arxiv.org/abs/1508.02993 |