Singular Links and Yang-Baxter State Models
| Autor: | Caprau, Carmen, Okano, Tsutomu, Orton, Danny |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Rocky Mountain Journal of Mathematics, Vol. 46, No. 6 (2016) 1867-1898 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1216/RMJ-2016-46-6-1867 |
| Popis: | We employ a solution of the Yang-Baxter equation to construct invariants for knot-like objects. Specifically, we consider a Yang-Baxter state model for the sl(n) polynomial of classical links and extend it to oriented singular links and balanced oriented 4-valent knotted graphs with rigid vertices. We also define a representation of the singular braid monoid into a matrix algebra, and seek conditions for extending further the invariant to contain topological knotted graphs. In addition, we show that the resulting Yang-Baxter-type invariant for singular links yields a version of the Murakami-Ohtsuki-Yamada state model for the sl(n) polynomial for classical links. Comment: 22 pages, many figures; this is the journal version of the paper |
| Databáze: | arXiv |
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