The braid shelf. (English) Zbl 1425.20021
In this survey paper, the author presents results about the self-distributive, SD, operations in braids on unlimited number of strands, \(B_{\infty}\). The aim of this paper is to gather and present known results about SD-operations on \(B_{\infty}\), but also focus on the SD-operations themselves. Finally, the author discusses some open questions leading to further research.
Reviewer: Ioannis Diamantis (Beijing)
MSC:
| 20F36 | Braid groups; Artin groups |
| 20N02 | Sets with a single binary operation (groupoids) |
| 57M25 | Knots and links in the \(3\)-sphere (MSC2010) |
| 57M60 | Group actions on manifolds and cell complexes in low dimensions |
Keywords:
self-distributivity; shelf; braid; special braid; symmetric group; laver table; charged braid; parenthesized braidReferences:
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