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Garside families and Garside germs
Garside families have recently emerged as a relevant context for extending results involving Garside monoids and groups, which themselves extend the classical theory... -
Braids in trivial braid diagrams
We show that every trivial $3$-strand braid diagramcontains a disk, defined as a ribbon ending inopposed crossings. Under a convenient algebraicform, the result... -
Foundations of Garside Theory
This text consists of the introduction, table of contents, and bibliography of a long manuscript (703 pages) that is currently submitted for publication. This... -
Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside...
Building on a result by W. Rump, we show how to exploit the right-cyclic law (x.y).(x.z) = (y.x).(y.z) in order to investigate the structure groups and monoids...
