Incompressible surfaces in the exterior of a closed 3-braid

Abstract

Let be a closed 3-braid in S 3 with axis L γ . The exterior of γ U Lγ in S 3 is a fibre bundle over S 1 with fibre a disc with 3 holes. The monodromy is given by a matrix in PSL(2, ) and the braid γ is called hyperbolic if its matrix is hyperbolic.