The triangulation complexity of elliptic and sol 3-manifolds
The triangulation complexity of a compact 3-manifold <i>M</i> is the minimal number of tetrahedra in any triangulation of <i>M</i>. We compute the triangulation complexity of all elliptic 3-manifolds and all sol 3-manifolds, to within a universally bounded multiplicative erro...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Springer
2024
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| _version_ | 1817930797592608768 |
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| author | Lackenby, M Purcell, JS |
| author_facet | Lackenby, M Purcell, JS |
| author_sort | Lackenby, M |
| collection | OXFORD |
| description | The triangulation complexity of a compact 3-manifold <i>M</i> is the minimal number of tetrahedra in any triangulation of <i>M</i>. We compute the triangulation complexity of all elliptic 3-manifolds and all sol 3-manifolds, to within a universally bounded multiplicative error. |
| first_indexed | 2024-03-07T08:18:45Z |
| format | Journal article |
| id | oxford-uuid:748aad5c-eac0-4e23-b755-2b553b04f4eb |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-12-09T03:11:50Z |
| publishDate | 2024 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:748aad5c-eac0-4e23-b755-2b553b04f4eb2024-10-15T10:01:06ZThe triangulation complexity of elliptic and sol 3-manifoldsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:748aad5c-eac0-4e23-b755-2b553b04f4ebEnglishSymplectic ElementsSpringer2024Lackenby, MPurcell, JSThe triangulation complexity of a compact 3-manifold <i>M</i> is the minimal number of tetrahedra in any triangulation of <i>M</i>. We compute the triangulation complexity of all elliptic 3-manifolds and all sol 3-manifolds, to within a universally bounded multiplicative error. |
| spellingShingle | Lackenby, M Purcell, JS The triangulation complexity of elliptic and sol 3-manifolds |
| title | The triangulation complexity of elliptic and sol 3-manifolds |
| title_full | The triangulation complexity of elliptic and sol 3-manifolds |
| title_fullStr | The triangulation complexity of elliptic and sol 3-manifolds |
| title_full_unstemmed | The triangulation complexity of elliptic and sol 3-manifolds |
| title_short | The triangulation complexity of elliptic and sol 3-manifolds |
| title_sort | triangulation complexity of elliptic and sol 3 manifolds |
| work_keys_str_mv | AT lackenbym thetriangulationcomplexityofellipticandsol3manifolds AT purcelljs thetriangulationcomplexityofellipticandsol3manifolds AT lackenbym triangulationcomplexityofellipticandsol3manifolds AT purcelljs triangulationcomplexityofellipticandsol3manifolds |