Ekholm, Honda, and Kálmán constructed exact Lagrangian fillings for a Legendrian torus knot or link with maximal Thurston–Bennequin number, where is the-th Catalan number. We show that these exact Lagrangian fillings are pairwise nonisotopic through exact Lagrangian isotopy. To do that, we compute the augmentations induced by the exact Lagrangian fillings to and distinguish the resulting augmentations.
