On the geometry of rod packings in the 3-torus
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929248877412352 |
|---|---|
| author | Hui, Connie On Yu Purcell, Jessica S. |
| author_facet | Hui, Connie On Yu Purcell, Jessica S. |
| contents | Rod packings in the 3-torus encode information of some crystal structures in crystallography. They can be viewed as links in the 3-torus, and tools from 3-manifold geometry and topology can be used to study their complements. In this paper, we initiate the use of geometrisation to study such packings. We analyse the geometric structures of the complements of simple rod packings, and find families that are hyperbolic and Seifert fibred. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_04662 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the geometry of rod packings in the 3-torus Hui, Connie On Yu Purcell, Jessica S. Geometric Topology 57K10, 57K32, 57K35 (primary) 57Z15 (secondary) Rod packings in the 3-torus encode information of some crystal structures in crystallography. They can be viewed as links in the 3-torus, and tools from 3-manifold geometry and topology can be used to study their complements. In this paper, we initiate the use of geometrisation to study such packings. We analyse the geometric structures of the complements of simple rod packings, and find families that are hyperbolic and Seifert fibred. |
| title | On the geometry of rod packings in the 3-torus |
| topic | Geometric Topology 57K10, 57K32, 57K35 (primary) 57Z15 (secondary) |
| url | https://arxiv.org/abs/2212.04662 |