Dehn surgery on arborescent knots

Abstract

A knot K is called an arborescent knot if it can be obtained by summing and gluing several rational tangles together, see [7] or below for more detailed definitions. Recall that a 3-manifold is called a Haken manifold if it is irreducible and contains an incom-pressible surface. Following Hatcher [14] we say that a 3-manifold M is laminar if it