RT Journal Article
T1 Fibred knots and disks with clasps.
A1 Gordon, Cameron McA
A1 Montesinos Amilibia, José María
AB 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.
PB Springer
SN 0025-5831
YR 1986
FD 1986
LK https://hdl.handle.net/20.500.14352/64868
UL https://hdl.handle.net/20.500.14352/64868
LA eng
NO NSF
NO Comité Conjunto Hispano-Norteamericano
DS Docta Complutense
RD 25 feb 2026