On Farber's invariants for simple $2q$-knots

Let $K$ be a simple $2q$-knot with exterior $X$. We show directly how the Farber quintuple $(A,\mathrm{\Pi },\alpha ,\mathrm{\ell },\psi )$ determines the homotopy type of $X$ if the torsion subgroup of $A={\pi }_q(X)$ has odd order. We comment briefly on the possible role of the EHP sequence in recovering the boundary inclusion from the duality pairings $\mathrm{\ell }$ and $\psi$. Finally we reformulate the Farber quintuple as an hermitian self-duality of an object in an additive category with involution.