Spatial Cube Complexes
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909437407526912 |
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| author | Abgrall, Adrien |
| author_facet | Abgrall, Adrien |
| contents | We provide a new geometric characterization for the spine of untwisted outer space of a right-angled Artin group, constructed by Charney, Stambaugh, and Vogtmann. We realize the spine as the natural simplicial complex associated with the category of spatial cube complexes, a new class of locally CAT(0) cube complexes with a simple definition in terms of hyperplane collapses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06242 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spatial Cube Complexes Abgrall, Adrien Group Theory Geometric Topology 20F28 (Primary) 20F36, 20F65 (Secondary) We provide a new geometric characterization for the spine of untwisted outer space of a right-angled Artin group, constructed by Charney, Stambaugh, and Vogtmann. We realize the spine as the natural simplicial complex associated with the category of spatial cube complexes, a new class of locally CAT(0) cube complexes with a simple definition in terms of hyperplane collapses. |
| title | Spatial Cube Complexes |
| topic | Group Theory Geometric Topology 20F28 (Primary) 20F36, 20F65 (Secondary) |
| url | https://arxiv.org/abs/2411.06242 |