Volume bounds for weaving knots
| Autor: | Champanerkar, Abhijit, Kofman, Ilya, Purcell, Jessica S. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Algebr. Geom. Topol. 16 (2016) 3301-3323 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/agt.2016.16.3301 |
| Popis: | Weaving knots are alternating knots with the same projection as torus knots, and were conjectured by X.-S. Lin to be among the maximum volume knots for fixed crossing number. We provide the first asymptotically correct volume bounds for weaving knots, and we prove that the infinite weave is their geometric limit. Comment: 17 pages, 12 figures. Formerly part of arXiv:1411.7915. V2: minor corrections in sections 2 and 4; clarified and expanded exposition throughout |
| Databáze: | arXiv |
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