Satellite (1,1)-knots and meridionally incompressible surfaces
The author shows there is one isotopy class of closed, orientable, essential meridionally (sic) incompressible surfaces in the exterior of a satellite (1,1) knot in \(S^3\); namely, the one containing the essential torus. The (1,1)-splittings of such a knot are characterized.
scientific article; zbMATH DE number 2172997