ABSTRACT
Let S be a connected orientable surface of genus g ≥ 1 with one boundary component, and let ϕ be a self-homeomorphism of S. The mapping torus M(ϕ) = S × I/((x,0) ∼ (ϕ(x),1)) is a 3-manifold which fibers over S1 with S as fiber. Such manifolds arise naturally as complements of fibered knots in closed orientable 3-manifolds. In fact, any closed orientable 3-manifold contains a fibered knot [22], [14] whose complement M(ϕ) has a hyperbolic structure [13].
