As of a few hours ago, all I know about quandles was that they had something to do with knots. Since in our modern connected age ignorance lasts only as long as you want it to, I decided to find out more. I found this slide deck by Bob McGrail explains both the definition of quandle and the motivation in knot theory in a measly six slides. (The rest of the talk is how to efficiently compute quandles.)

Sam Nelson has a nice introduction to the general area of universal-algebraic invariants from the Notices, called Revolution in Knot Theory. Nelson also discusses the emergence of virtual knots.

5 thoughts on “Quandles

  1. It always makes me sad when a book stops being online for free. I have a bunch of book pdfs saved that I’ll probably never read, just in case…

    I took a look at that Knots and Physics book. It looks amazing.

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