Erratum to: On manifolds with multiple lens space fillings

Abstract

In our classification of non-hyperbolic knots in lens spaces with non-trivial Dehn surgeries to lens spaces, Theorem 13 of our work, we failed to acknowledge that the exteriors of the last three listed knot types may coincide. Since Theorem 13 only deals with non-hyperbolic manifolds much of the paper is unaffected. However, there is a family of toroidalmanifoldswith three lens space fillings of distance 1 thatwas initially overlooked and not included in Theorem 1. To accommodate this family and correct our arguments, we submit the following minor changes: the statement of Theorem 1 and the proof of Theorem 1 have a more comprehensive treatment of the toroidal case; the statement of Theorem 13 no longer claims that the cases are mutually exclusive; and the proof of Corollary 40 discusses the toroidal case in further detail.