M Theory Lesson 189

Recall that the MZV weights for period integrals work so that $\zeta (3)$ appears in dimension 3 along with the 9 faced Stasheff associahedron, used by Mulase et al to study the 6 valent ribbon vertex, and also used to tile the (real points of the) 6 point genus zero moduli space which counts the particle generations. In the last lesson, we saw that $\zeta (3)$ appears in connection with the trefoil knot. It seems clear, then, that the connection between the polytope and the trefoil is number theoretic, as well as lying at the heart of physics.