%0 Journal Article
%A Gordon, Cameron McA
%A Montesinos Amilibia, José María
%T Fibred knots and disks with clasps.
%D 1986
%@ 0025-5831
%U https://hdl.handle.net/20.500.14352/64868
%X It is known that every closed, orientable 3-manifold contains a fi-bered knot—a simple closed curve whose complement is a surface bundle over S1. For K such a fibered knot in a rational homology 3-sphere M it is shown that for any compact submanifold X of M containing K as a null-homologous subset, each component of ∂X is compressible in M−K. If K is a doubled knot (bounds a disk with one clasp) then it follows that K is a double of the trivial knot. More generally, it follows that the genus of X (minimum number of one-handles) is less than the genus of M.
%~