Hyperbolic 3-manifolds of low cusp volume
| Autor: | Gabai, David, Haraway, Robert, Meyerhoff, Robert, Thurston, Nathaniel, Yarmola, Andrew |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We classify the complete hyperbolic 3-manifolds admitting a maximal cusp of volume at most 2.62. We use this to show that the figure-8 knot complement is the unique 1-cusped hyperbolic 3-manifold with nine or more non-hyperbolic fillings; to show that the figure-8 knot complement and its sister are the unique hyperbolic 3-manifolds with minimal volume maximal cusps; and to extend results on determining low volume closed and cusped hyperbolic 3-manifolds. Comment: 79 pages, 18 figures |
| Databáze: | arXiv |
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