Lipa's pseudo-monodromy marker conjecture for herds

Let $\mathfrak{M}$ be the Mandelbrot set, let $H$ be a hyperbolic component of $\mathfrak{M}$, and let $\underline{v}$ be a word over $\{A,B\}$. Let $\mathcal{H}$ be the relevant parameter-space set with basepoint $\ast$, let $\gamma\in\pi_1(\mathcal{H},\ast)$ wind around the $\underline{v}$-herd of the wake $\mathcal{W}_H$, and let $H_1,\dots,H_L$ be the hyperbolic components conspicuous to $H$. Define

$$\underline{w}^i\equiv\underline{v}\ast K(H_i).$$

Lipa's pseudo-monodromy marker conjecture. The monodromy action of $\rho(\gamma)$ is described by compositions of the markers

$$W\equiv\{\underline{w}^1,\dots,\underline{w}^L\}.$$

The conjecture proposes a combinatorial description of monodromy actions around herds using herd codings and kneading sequences; its status is unresolved in the supplied text.