The normal closure of a bounding pair map in its mapping class group
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866918159723790336 |
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| author | Chen, Lei Chen, Weiyan Lanier, Justin |
| author_facet | Chen, Lei Chen, Weiyan Lanier, Justin |
| contents | Johnson showed that the normal subgroup of a mapping class group generated by the genus $1$ bounding pair maps is equal to the Torelli group. Generalizing Johnson's result, we give two descriptions of the normal subgroup generated by the genus $n$ bounding pair maps using the Chillingworth and the Casson--Morita invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_11673 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The normal closure of a bounding pair map in its mapping class group Chen, Lei Chen, Weiyan Lanier, Justin Geometric Topology Group Theory Primary: 57K20, Secondary: 20F34, 57M60 Johnson showed that the normal subgroup of a mapping class group generated by the genus $1$ bounding pair maps is equal to the Torelli group. Generalizing Johnson's result, we give two descriptions of the normal subgroup generated by the genus $n$ bounding pair maps using the Chillingworth and the Casson--Morita invariants. |
| title | The normal closure of a bounding pair map in its mapping class group |
| topic | Geometric Topology Group Theory Primary: 57K20, Secondary: 20F34, 57M60 |
| url | https://arxiv.org/abs/2302.11673 |