The canonical start of a linear sequence is a point in nearest LFn string. In this simple example, there are three possible linear sequences (with the correct orientation) but only $L2, L5, R1$ has the correct start point.

I’m working with Eric Vandendriessche and Alfredo Braunstein to understand a bit about how the string figure calculus acts of canonical linear sequences.

This photo has a sketch of an embedding $\heartsuit_n \leq B_{2n}$.

Three loop manipulations are shown. What should we call them?

A quick peek at the braid group $B_3$

A write-up of a question about loop manipulation and braid groups.

Labelled generators of $H_{n} \subseteq B_{2n}$.

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