Geometry of fully augmented links in doubled 3-manifolds
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866912245976399872 |
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| author | Purcell, Jessica S. Reid, Corbin Stewart, John |
| author_facet | Purcell, Jessica S. Reid, Corbin Stewart, John |
| contents | Classical fully augmented links have explicit hyperbolic geometry, and have diagrams on the 2-sphere in the 3-sphere. We generalise to construct fully augmented links projected to the reflection surface of any 3-manifold obtained by doubling a compact 3-manifold and show that the results of the classical setting extend to these links. When the resulting manifolds are hyperbolic, we find bounds on their cusp shapes and volumes. Note these links include virtual fully augmented links, and thus our bounds apply to such links when they are hyperbolic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18976 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Geometry of fully augmented links in doubled 3-manifolds Purcell, Jessica S. Reid, Corbin Stewart, John Geometric Topology 57K32, 57K10 Classical fully augmented links have explicit hyperbolic geometry, and have diagrams on the 2-sphere in the 3-sphere. We generalise to construct fully augmented links projected to the reflection surface of any 3-manifold obtained by doubling a compact 3-manifold and show that the results of the classical setting extend to these links. When the resulting manifolds are hyperbolic, we find bounds on their cusp shapes and volumes. Note these links include virtual fully augmented links, and thus our bounds apply to such links when they are hyperbolic. |
| title | Geometry of fully augmented links in doubled 3-manifolds |
| topic | Geometric Topology 57K32, 57K10 |
| url | https://arxiv.org/abs/2310.18976 |