Summary: A quick peek at the braid group $B_3$ [full page]
Summary: Three loop manipulations are shown. What should we call them? [full page]
Summary: This photo has a sketch of an embedding $\heartsuit_n \leq B_{2n}$. [full page]
Summary: 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. [full page]
Summary: I’m working with Eric Vandendriessche and Alfredo Braunstein to understand a bit about how the string figure calculus acts of canonical linear sequences. [full page]
Thanks for reading! If you have any comments or questions about the content, please let me know. Anyone can contact me by email.