A spectrum connecting the braid index and the bridge index
| Autor: | Doig, Margaret, Gehringer, Chase |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We study the booklink, a braid-like embedding with local maxima and minima, and the bridge-braid spectrum of a link, which captures the smallest number of braid-strands in a booklink with a prescribed number of critical points. This spectrum spans the gap between the classical bridge and braid indices. We apply a foliation theory argument to provide a formula for the spectra of both split and composite links. We then generate a table for the spectra of all prime knots up to 9 crossings. Comment: 22 pages, 13 figures, 1 table |
| Databáze: | arXiv |
| Externí odkaz: |
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