Invariants of n-colored links in the solid torus S1 × D2 associated with n-multibiquandles

In this paper, we introduce counting invariants of [Formula: see text]-colored solid torus links associated with [Formula: see text]-multibiquandles. Especially, we develop the [Formula: see text]-parallel multibiquandle counting invariant for [Formula: see text]-colored solid torus links by using the [Formula: see text]-parallel biquandles of a given biquandle [Formula: see text], which specializes to a new invariant for uncolored solid torus links associated with [Formula: see text]. Further, we discuss how to compute these invariants by using annulus diagrams of the solid torus links.