  We prove a special case of a conjecture of Davison which pertains to
superpotential descriptions of fundamental group algebras $k[\pi_1(X)]$. We
consider the case in which the manifold $X$ is the mapping torus $M_{g,
\varphi}$ of a genus $g$ Riemann surface $\Sigma_g$ and a finite order
automorphism $\varphi$, and the superpotential structure is given by the Jacobi
algebra of a quiver with potential.
