Right-angled polyhedra and alternating links
| Autor: | Champanerkar, Abhijit, Kofman, Ilya, Purcell, Jessica S. |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Algebr. Geom. Topol. 22 (2022) 739-784 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/agt.2022.22.739 |
| Popis: | To any prime alternating link, we associate a collection of hyperbolic right-angled ideal polyhedra by relating geometric, topological and combinatorial methods to decompose the link complement. The sum of the hyperbolic volumes of these polyhedra is a new geometric link invariant, which we call the right-angled volume of the alternating link. We give an explicit procedure to compute the right-angled volume from any alternating link diagram, and prove that it is a new lower bound for the hyperbolic volume of the link. Comment: 32 pages, 16 figures. V2 includes minor edits and corrections, mainly to exposition, based on referee comments. To appear in Algebr. Geom. Topol |
| Databáze: | arXiv |
| Externí odkaz: |
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